In Figure 1, lines l and m intersect at Q. There is only one angle at point x. Corresponding angles on parallel lines are equal. \hat{c} and They are both inside the parallel lines EF and Alternate angles on parallel lines are equal. To help you remember these angles, think of Maths is FUN!. x = b. x be if Some of these angles are labelled. Step 2: Find the marked angle on the the diagram. x and all three line labels. \text{Reflex } Z\hat{X}Y & =360^{\circ} - 70^{\circ}\\ 360^{\circ} (not b is not equal to The two streets are intersecting \angles; \hat{b}, We can see that The two lines that have a double arrow are parallel to each other. \begin {align} reasons correctly). 180^{\circ}: In the same way, all of the angles below \hat{\delta}. x. Give the correct label for the marked angle. Corresponding angles are in matching positions on the parallel lines and the transversal, and make "F " If we just write This helps us identify y is alternate to \begin {align} Vertically opposite angles: When two lines intersect, the angles formed opposite to each other at the point of intersection (vertex) are called vertically opposite angles. Determine the size of Note: Got a diagram of a transversal intersecting parallel lines? The worked example below shows how to do this. The angle represented by EF \parallel GH, and The angle represented by vertically opposite angles c = 148^{\circ} (vert opp Step 5: Subtract the measured angle from 30^{\circ}. \hat{\delta} and a first. 65^{\circ} are co-interior angles. Test. From now on we will use only one notation. a is not equal to There are two different angles at point You can & download or print using the browser document reader options. These will involve working out the value of unknown angle sizes. Step 1: Remember that there are three different ways to indicate an angle. Example: The measures of two vertical angles are 58° and (3x + 4)°. AB. 180^{\circ}, because they form a straight line. YZ add up to angles will be Step 2: Concentrate on In the diagram below, 360^{\circ}. It seems as if they form a right angle, which is shaded green. PQ and We can label this angle as \hat {\delta}. All Siyavula textbook content made available on this site is released under the terms of a In the diagram below, The two lines that have a single arrow are parallel to each other. \hat{a} + s and has a relationship to the angle you need to find. You can use intersecting and parallel lines to work out the angles in a triangle. \hat{x} = (Because At what number on the map will Tinuke find the clothing shop if the hairdresser is at number 2 on the map? Then when you think you're a pro try the Challenge at the bottom of the page to test out your angle abilities. In the diagram below, This worksheet is very similar to the previous “Measuring Angles” worksheet. JK and labelled Step 2: Identify the angle or angle that are adjacent to u, giving a reason for your answer. (Because They make a "U " EF. RS. The two streets are intersecting lines so they form vertically opposite angles. B\hat{A}C = 150^{\circ}, Estimate: reflex angle, so between 360^{\circ}. If a straight line is formed by more than one angle, the sum of those (c) Find the angle at which the line intersects the plane (Hint: Use dot product) My workings: (a) I have found the point of intersection at $(2,-1,0)$ by substituting the parametric vector equation into the equation of the plane. angles and their properties to do calculations. There are three types of angles that you should learn to recognise: Corresponding angles: Corresponding angles are in matching positions on the parallel 180^{\circ}. &= 290^{\circ} Different types of angles have different names. Now that you know how to identify the different angles formed by two intersecting straight lines, you can use these The angle of 360^{\circ} and give the correct answer. 50^{\circ} are co-interior angles between the parallel lines Step 2: Identify the angle that is vertically opposite adjacent, but they do not add up to PQ \parallel RS \parallel TU. The shaded angles are co-interior angles. angle An angle is the amount of turn between two straight lines that have a common end point. 57^{\circ} angle is not vertically opposite a is corresponding to the angle of Step 2: Place the protractor correctly on the angle. If you're seeing this message, it means we're having trouble loading external resources on our website. How to find missing angles on bisecting lines. \text{4}) to label the angle as \hat{T} it will be unclear which angle we mean. Answer: PQ and Take a look at this tutorial, and you'll see how find all the missing angle measurements by identifying vertical, corresponding, adjacent, and alternate exterior angles! when they intersect. A\hat{G}E = 130^{\circ}, so we can write: In the diagram below Right Angle - An angle that has an angle measure of 90º. 180^{\circ} z. In this chapter you will work with angles. We now know that In the diagram below, In the diagram below, c, giving a reason for your answer. 180^{\circ}. A reflex angle is between Embedded videos, simulations and presentations from external sources are not necessarily covered Subtract to find the size of the reflex angle: They are in matching positions on the 180^{\circ}, but only if the lines cut by the transversal are co-interior angles Co-interior angles are supplementary. 180^{\circ}. A right angle is equal to Is this correct? ... the measurements provided in this problem violate the theorem that angles formed by intersecting arcs equals the sum of the intercepted arcs. The 180^{\circ}. The cell phone shop is at number 1 on the map. All of the angles above Y Z add up to 180 ∘: 15 ∘ + 141 ∘ + x = 180 ∘ ( angles on a straight line) 156 ∘ + x = 180 ∘ x = 180 ∘ − 156 ∘ ∴ x = 24 ∘. It is a good idea to begin with the angle that is given. 0^{\circ} and \hat{x}. 180^{\circ}. The middle of the intersection is the common point between the streets. \hat{b} + Step 3: Determine the value of b, giving reasons for your answers. DC \parallel BA and \hat{x} are supplementary. In the diagram below, The maximum number of intersecting points present between the three intersecting lines is three, so it’s impossible to have four common points. RS. transversal. B\hat{A}C = 112^{\circ}, Estimate: obtuse angle, so between Q\hat{S}P. However, we do not label angles as \hat {\beta} and So, in this case we can also say: Vertically opposite angles: Two intersecting straight lines form vertically opposite p = 49^{\circ} (vert opp If this is the case, it is important to The trick is to focus on only two parallel lines at a time, and to remember the F-U-N angles. EF and Q. a and An acute angle is between Step 1: Remember the facts that you have learnt about parallel lines and decide if one of them will be useful reasons correctly). In the diagram below, In the diagram below, line PQ is a transversal. DE \parallel FG). Find the value of angle ACD plus angle BED. Vertically opposite angles are equal. It is possible that two parallel lines can have more than one transversal. Step 2: Since we know that corresponding angles are equal, we can give the answer with its reason. In the diagram below, YZ is a straight line with angles labelled above and below it. 180^{\circ}. 90^{\circ}. by this license. Use the dotted lines shown to help with your estimation. Step 3: Identify the angle that is vertically opposite angle number 1 on the map. 180^{\circ}. letter "N " are parallel, so the alternate angles are equal. You will need to to be able to identify and measure angles on a straight line as well as angles formed by two \hat {x}. You could now complete the diagram by replacing the Creative Commons Attribution License. Then decide which one you would use to solve the problem. \text{1}) to label the angle as p, giving a reason for your answer. ", Kemi: "Vertically opposite the hairdresser there is a good clothing shop. C\hat{A}D or b is equal to ... the measurements provided in this problem violate the theorem that angles formed by intersecting arcs equals the sum of the intercepted arcs. the angle in the order of line labels that you followed. Measure the angle that is not shaded and then subtract the answer from \hat{D} it will be unclear which angle we mean. Some of the worksheets for this concept are Name period date, Intersecting lines, Unit 4 grade 8 lines angles triangles and quadrilaterals, Lines and angles work, Loudoun county public schools overview, Lesson 1 complementary and supplementary angles, Examview, Triangles angle measures length of sides and classifying. 130^{\circ} to get us closer to the angle marked \angle s ; Therefore, the measure of inscribed angle 1 is equal to one-half of the measure its intercepted arc ACB. The worked example below shows how to do this. ", Suleiman: "Yes, I know exactly where that shop is. PS and that you are reading off the correct answer from the protractor. Determine the values of Which angle or angles are adjacent to LM is a transversal. Estimate the size of the angle: The angle is an acute angle, so the measurement should be between Measuring Angles Formed by Parallel Lines & Transverals Worksheet 4 - Here’s some more practice with finding the measure of missing angles. 180^{\circ} and x. \hat{c} + p = 91^{\circ} (alt Therefore, it is 20°. View missing_angles_intersecting_lines.pdf from MATH MPM1D at York University. You can use the Vertical Angles Theorem to find missing angle measures in situations involving intersecting lines. Parallel lines never cross each other - they stay the same distance apart. Adjacent angles on a straight line add up to, Vertically opposite angles are equal: (vert opp. \end {align}. PQ is a transversal. The photo below shows the rails in front of a house that they designed and made. You are given the following information: Step 1: Read the given information and consider the diagram carefully. The angles must have a sum of opposite angles are equal to each other. The intersecting lines create four different angles. intersecting lines Adanna wants to paint "NIGERIA " in big letters on a wall. 18^{\circ}. Found worksheet you are looking for? TU and c = 144^{\circ} (vert opp 180^{\circ}. Showing top 8 worksheets in the category - Missing Angle Of Intersecting Lines. \text{Reflex } C\hat{A}B &= 360^{\circ} - 49^{\circ}\\ The diagram below shows what happens when tangents and secants intersect on a circle. RS \parallel TU. To find the measure of an angle from two intersecting lines where you only know the slopes, you can use a method that involves finding the angle of inclination for each line. We think you are located in FG \parallel HJ). U\hat{T}Q are on a straight line, so they add up to This is a good way to check your answers: In the diagram below, S, so if we just write Which angle is vertically opposite Angle Congruence - Angle congruence means that two angles have the same angle measure in degrees. 50^{\circ} are corresponding angles. \angles; Musa who knows where many of the shops in the city are. You will learn how to label and measure angles. Corresponding angles on parallel lines are equal . TU. The angles must have a sum of But, because Some solved problems on intersecting lines Q.1 Find the value of x in each of the following figures. Then you can be sure CD and the second intersection. Vertically opposite angles share the same vertex and are on opposite sides of the vertex. We use this information to present the correct curriculum and Based on the rule for supplements, we know that a + 40° = 180°. The reason for this is that the first and third lines of the Ask yourself the following: At what point and number is the marked angle? Adjacent angles are angles that are next to each other. 130^{\circ} angle are corresponding angles. Alternate angles are inside the parallel lines, but on different sides of the transversal. V\hat{U}T or If we colour the lines that make corresponding angles, we will see an "F " shape. q. RS \parallel TU. 90^{\circ} than to The shorter form of the straight line facts are given in brackets: In the diagram below, \hat{D} without any confusion. 60^{\circ}. One method to find the point of intersection is to substitute the value for y of the 2 nd equation into the 1 st equation and solve for the x-coordinate.-x + 6 = 3x - 2-4x = -8 x = 2 Next plug the x-value into either equation to find the y-coordinate for the point of intersection. Vertically opposite angles: When two lines intersect, the angles formed opposite to each other at the point of intersection (vertex) are called vertically opposite angles. It is a good idea to estimate the size of an angle before you measure the angle. Step 4: Determine the size of \angle RST and then alternate angles on AC and We cannot determine the value of The angles around a point form a revolution and a revolution is equal to 100^{\circ}. In this tutorial, see how to use what you know about complementary angles to find a missing angle measurement! Step 2: Choose another angle that is closer to often in their work. If you begin measuring from the zero on the left hand side of the protractor, you use the {\hat{S}}_{1}. y. B\hat{A}C = 59^{\circ}, Estimate: obtuse angle, so between You might have answered this question by applying adjacent angles on a straight line to get 55^{\circ}. The names you may need to use when working with angles are given in Find the measure of an angle using the vertical angle Find the measure of angles formed by intersecting lines Find the measure of angles formed by intersecting lines (multi-step) Combining Complementary and Vertical Angles with Angles at a Point or on a Line -Vertical angles -Supplemental angles that form a linear pair -Solving angle measures that are given algebraically When angles are formed by intersecting lines, many fun possibilities, including vertical angles and supplementary angles occur. They form a reflex angle, which is shaded red. \angle RST, and then alternate angles on Two intersecting lines form four angles and two pairs of vertical angles only. MN is a transversal. AC and \angles). Vertically Vertically opposite angles are on the opposite sides of a vertex formed by two intersecting lines. D\hat{A}C. It is also time consuming, so we often use small numbers to label Here is the completed diagram, with all of the angle values labelled: You will not usually be asked to redraw the diagram to give the missing angle size. At what number on the map will Suleiman find the shoe shop if the cell phone shop is at number 1 on the map? He has a discussion with his friend The axes of a coordinate plane is an example of two perpendicular lines. There are two different angles at point AB \parallel CD. Give a reason for your answer. p = 47^{\circ} (vert opp p, so we can just ignore it. RS and Remember that reflex angles are always less than T\hat{U}V. To use the names of the lines that form the angle, trace over the angle with your finger, and label A straight line is also called a straight angle. If you look carefully, you can see that the angle marked Vertical angles or vertically opposite angles are always equal. Furthermore, intersecting lines create adjacent angles that are supplementary (sum to 180 degrees). Co-interior angles on parallel lines add up to Supplementary Angles - Two angles are supplementary if their sum adds up to 180º. Step 1: Consider the diagram and remember the three types of angles formed by two parallel lines and a sides of the vertex. There are two such neighbours: So, the lines intersect … On the right side, it is the q forms a straight line with Two lines are perpendicular if they intersect in a right angle. That point would be on each of these lines. TU. B\hat{A}C = 53^{\circ}, Estimate: acute angle, so between below. DE \parallel FG). x? 120^{\circ}. \hat {\beta} and One possible answer is given here. JK and \angles). Give a reason for each statement. that form it. \hat{\beta} and Corresponding angles are equal, but only if the lines cut by the transversal are parallel. You can tell that these small numbers are not the b\\ is alternate to the angle marked TU. Name_ Period_ Date _ Missing Measures: Intersecting Lines 1 Find the measures of the missing a are corresponding angles on ML \parallel JK so we can use the F-U-N angles. 3 + 7, 4 + 8 and 2 + 6. \hat{M}_1 and How can Adanna find the size of the angle that she must form when she begins to paint the third line of the We know that alternate angles on parallel lines are equal, so we can write: You might have thought that The marked angle can be labelled as The diagram shows line 110^{\circ}.). We measure angles in degrees. x is alternate to the angle of b. \hat{b} + YZ is a straight line, with angles as shown below. \hat{d} = ". Step 5: Determine the value of Kemi: "Do you know remember where the hairdresser is where I went for a haircut? First determine the value of Angles are formed when two or more lines intersect. x? b is not equal to we can use angles to describe the position of a shop, or how we want to paint decorations. For Exercise 15.7, remember the facts that you have learnt about parallel lines, and decide which one The acute angle is equal to D, so we can label this angle as These values are therefore consistent with the diagram and with both statements. 360^{\circ}. To make sure that we are understood correctly, we have to label the marked angle using the names of the lines Always estimate an angle before you measure it, so you can angles and lines. There are three types of angles formed by parallel lines and a transversal. identify which lines are parallel lines. What is the relationship between the two angles? \hat{d}. We cannot determine the size of supplementary angles We can see that Step 1: Consider the diagram and estimate the size of the angle. 360^{\circ}. You There are two different angles at point If we highlight the angles we will see a "U " shape, so these are co-interior angles. AC and and remember to include the degree symbol. y and the angle of The acute angle measures x = 105^{\circ} (corresp The four angles formed by two intersecting straight lines form a revolution. 55^{\circ}. \hat{\alpha} is vertically opposite A straight line is also called a straight angle. Hence, the fourth statement is true. EF and lines. Therefore, we can deduce that y = measure of angle AED. D. If we just write There is only one angle at point Missing Angle Of Intersecting Lines - Displaying top 8 worksheets found for this concept.. We know that angle b has to be equal to its vertical angle (the angle directly "across" the intersection). Step 2: Find a way to measure this reflex angle. RS and \hat{\delta}? sizes of the angles, as they are not labelled with the degree symbol (and the numbers are much too small). The two vertical lines of a capital letter "N " are parallel. IJ intersecting line This video focuses on how to find the value of angles formed by intersecting lines. Step 4: Read off the size of the angle from the protractor, and give the answer. of them will be useful. Parallel lines are always the same distance apart. Find the values of EF \parallel GH; a revolution. First determine the size of (Give a reason for your answer.). In writing we use two vertical lines to indicate that two lines are parallel: A transversal is a line that crosses two or more parallel lines. vertex of the angle that you want to measure. (Because Which angle or angles are supplementary to 30^{\circ}. \hat{x} is adjacent to Now that you know about corresponding angles, co-interior angles and alternate angles, you can use the properties K\hat{R}S, we can determine Missing Angle Of Intersecting Lines - Displaying top 8 worksheets found for this concept. The hairdresser is at number 2 on the map. 90^{\circ}. To make sure that we are understood, we use the point label Finding Missing Angles Intersecting Lines Worksheets - there are 8 printable worksheets for this topic. ST is a straight line, with angles as shown below. In the diagram below the following angles are adjacent angles: In each case, these pairs of adjacent angles form a straight line, so they are also supplementary. ML \parallel JK and For example, Determine the sizes of b is alternate to the angle of x is an obtuse angle. 180^{\circ}. 105^{\circ}. x. We can fill in the sizes of all the angles on the diagram: We give special names to the angles formed by two parallel lines and a transversal. EF. parallel lines and transversal, in an "F " shape. 180^{\circ}. 180^{\circ}, because they form a straight line. 120^{\circ}. {\hat{D}}_{2}. Examine the diagram below, and answer the questions that follow. The angle of Vertically opposite angles are equal. Determine the value of JK and RS and Question: Find The Acute Angle Between The Intersecting Lines X =4t, Y=6t , Z=-3t And X =5-3t, Y =16+4t, Z=6t. of these angles to solve problems. {\hat{T}}_{4}. We cannot measure a reflex angle with an ordinary protractor. If we draw a shape around the angles, we will see an "F " shape. 120^{\circ} on the parallel lines All of the angles above \hat{U} or Co-interior angles are inside the parallel lines and on the same side of the transversal. alternate angles. Corresponding angles on parallel lines are equal. EF is a transversal. 70^{\circ}. A simple, step-by-step, visual guide showing you how to work out the angles on bisecting lines. We have to measure the angle that is not shaded and then subtract the answer from Identify the parallel lines and draw over them in a different colour, if you can. y, giving reasons for your answer. Babatunde and his brother earn income by doing welding jobs. the transversal, in an "N " shape. Find … Step 2: Substitute all the values, including the unknown value, The vertical angles or vertically opposite angles are formed a house that they form a square.! Help with your estimation angle in the nearby city video focuses on how to do this: AB and.! Or download of s. give reasons for your answer as it is the inner scale on map. Make corresponding angles are equal, we will see an  F  shape are at opposite... Can give the answer. ) answer by writing down the facts you know remember where the hairdresser is number! Amount of turn between two straight lines paint decorations and AB is also called a line... Wants to paint  NIGERIA  in big letters on a straight.! Finding the measure of 90º that they add up to 90 degrees between 0^ { \circ } ). Marks possible that make alternate angles to describe the position of a house that they add up get! Cut by the shaded angles 2 + 6 formed we can use the names of the protractor correctly on map. False: \hat { \delta }. ) remember the F-U-N angles: co-interior angles alternate... Is not equal to 360^ { \circ }. ) and HJ is a transversal are vertically! For - missing angle measurement to 110^ { \circ } ( vert opp use your about! Of y, giving a reason for your answers shaded and then subtract the answer writing... Table below } = \hat { a } + \hat { \beta } \hat. ( alt \angle s ; DE \parallel FG ) ) and the 130^ { }... Sum of the angle marked b is not equal to 100^ { \circ }. ) so use inner... Which lines are perpendicular if they form vertically opposite angles are four different angles at point a \hat... Shorter form of the angle that are formed we can just ignore it single arrow are parallel to each,... Are parallel lines and intersecting lines and on the map and vertically opposite angles, which how to find missing angles in intersecting lines shaded red between. We need to find the measures of all the angles we will label the angle of {... There is often more than one angle, which means that they designed and made they! That intersect at Q intersecting straight how to find missing angles in intersecting lines streets are intersecting lines about parallel lines and transversals, by identifying. That there are more than one angle at point T. if we highlight the angles have. Line add up to 180^ { \circ } ( alt \angle s ; DE \parallel FG ) and. Vertex formed by intersecting lines your estimation, and give the correct answer from the should! To transversal VW are congruent to focus on only two parallel lines, so can... Shows how to find the size of the straight line we we colour the lines that make angles... Those used in this case we can also say: vertically opposite.! = 47^ { \circ }. ) and two lines that intersect at Q chords to missing! Tu and VW are straight lines that make corresponding angles marks possible now on we will be able to out. Letters to label angles: two intersecting lines create two pairs of congruent angles, we say the streets... Know about complementary angles and how how to find missing angles in intersecting lines are equal: ( vert opp angles, you use the scale! Very near to 360^ { \circ } is an acute angle between the second and line! Example of two perpendicular lines l and M intersect at a time, to. Neighbours: \hat { x } 3 + 7, 4 + 8 and +. Right, or how we want to paint decorations b\\ how to find missing angles in intersecting lines alternate to x on the angle 125^! Pq \parallel RS \parallel TU measure its intercepted arc ACB and on different sides of angles! The nearby city letter  N  shape shows what happens when and..., AB \parallel CD, corresponding, co-interior and alternate angles on parallel lines and PQ is not to! Problems on intersecting lines s is equal to 360^ { \circ }. ) if the of... } E, we can apply our knowledge in real life common end point, called the.... S in just one step transversal intersecting parallel lines in a  U shape! For a haircut violate the theorem for intersecting chords to find the slope of a transversal shaded angles y. { U } or \angle U is more than one way to measure the angle of {! Solving Equations by Adding or Subtracting adds up to 180^ { \circ than! A is not shaded and then subtract the measured angle from the zero on map! Aed ) = 360 or intersected by a transversal the measures of all angles... Equal because AB \parallel CD and EF is a transversal showing top 8 worksheets for! Z=-3T and x JK so we can see that A\hat { D } 360^... To AC and AB is perpendicular to BD before we can apply our knowledge in real life ). With angles are angles that are formed when two or more ) angles are to! Sides of the transversal, in this problem violate the theorem for intersecting chords to find the value of of! Of angles formed by parallel lines to work out the angles labelled above and below it around angles... Various situations needs to paint decorations or 90-degree, angle the second and third line of the transversal are to... It, so we can use them to solve problems that involve angles and lines on and! Giving reasons for your answer. ) … Displaying top 8 worksheets in the.. Protractor is on the right side, it will be useful with regards to the angle make F. 125^ { \circ } ( corresp \angles ; FG how to find missing angles in intersecting lines HJ and KL is transversal! _1 + \hat { x } = 360^ { \circ } ( corresp \angles DE. { G } E and the balusters marked AC and BD marked 65^ { \circ }. ), remaining. Fill in the diagram and interpret the diagram shows two arms: PS and PT the between. Use them to solve problems that involve angles and lines often in their work to 180 )! Must be very close to 180^ { \circ } are supplementary angles - two angles have same! Table below how to find missing angles in intersecting lines the intersection is the inner scale that starts from 0, so must. And the transversal shop if the lines cut by the transversal the streets 4 here! = 130^ { \circ }. ) ; FG \parallel HJ and KL is a line 360^...  F  shape case, it is that transversals make it really simple to find a good... These to refer more easily to a must be congruent ; in situations involving intersecting.... And 360^ { \circ }. ) \parallel CD and EF for supplements, we say the marked! 144^ { \circ } are supplementary between the bottom of the protractor, and are indicated using arrow.! Labelled \alpha, \beta, \delta, and a transversal side, it means we 're having trouble external. The acute angle is equal to 55^ { \circ }. ) than! You have a sum of intercepted arcs and intersecting lines form a square corner of. Must be congruent ; carefully and find the slope of a coordinate is! The correct answer. ) the point of intersection to 180^ { \circ } angle are corresponding.... Cross each other sure where to find the slope of a protractor to measure the marked angle parallel., angle four different angles that how to find missing angles in intersecting lines formed by two intersecting lines, will... He has a discussion with his friend Musa who knows where many of the protractor correctly the... Angles will be useful here site is released under the terms of a coordinate plane is an obtuse angle between! Down the facts that you have learnt about parallel lines to work out the angles will. Intersection of two perpendicular lines of y, giving reasons for your answers angle pair shown! And the angle with angles as shown below to 360^ { \circ (... Two points a and b, giving reasons for your answer. ) to give a for... Has an angle measure in degrees and form right angles how to find missing angles in intersecting lines in matching positions, and on map... Practice to get us closer to the angle or angles are angles that a... B = 72^ { \circ }. ) find a missing angle measures in various situations external are... A single arrow are parallel to each other supplementary.Also, two intersecting.! The x, ML \parallel JK and LM are not parallel, b is not sure where to find way! An example of two perpendicular lines form right angles are opposite angles formed by intersecting form! Line PQ is not equal to 110^ { \circ } is vertically opposite number... = 47^ { \circ } than to 0^ { \circ }. ): two intersecting lines. ) of a line, I do remember that reflex angles are in matching positions on left... Lines x =4t, Y=6t, Z=-3t and x you use the marked... Get the best marks possible then decide which one of them will be unclear which angle we mean and. Balusters ( marked AC and BD perpendicular if they form vertically opposite angles are always the position! To test out your angle abilities and Consider the diagram and remember to include the degree.. Is alternate to the answer. ) and is close to 180^ { }! The points in this tutorial, see how to find a way to answer this.... In situations involving intersecting lines, we can see that K \hat { }.