Click on each name to see it highlighted: Now play with it here. Four angles are formed by the intersecting lines. You might have seen a road crossing two or more roads or a railway line crossing … Хичээ� If two lines intersect, do they always intersect at right angles? Log in. Finding angles. If you take the absolute value of value from atand, it will give you the positive angle between the lines which does not exceed 90 degrees. For reasons of legibility, angles between lines and/or curves equal to 0 degrees are not displayed in the geometry area Minimum distances and if applicable, angles are measured. Angles in parrallel lines Presentation.A PowerPoint demonstrating angle properties for parallel lines. Answer . tan a 1 = m 1 and tan a 2 = m 2. How to measure an angle between lines? An angle which is greater than 180° but less than 360° is called a reflex angle.Further, two angles whose sum is 90° are Also, recall that a straight angle is equal to 180°. Theorem: Angles between Intersecting Chords The measure of the angle formed by two chords that intersect inside a circle is equal to one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle. A visual explanation of angles that are formed by intersecting lines. Let the slope measurement can be taken as. Well, the key here to realize is that these right over here are related by the fact that they're formed from a transversal intersecting parallel lines. We know that when we rotate enough to make half a circle we will have a straight line because of symmetry – we could have rotated the line in either direction, and the half-way point would be the same. They're going to be congruent angles. The sides of the angle lie on the intersecting lines. The measure of an exterior angle is found by dividing the difference between the measures of the intercepted … When two lines intersect, the opposite (X) angles are equal: On parallel lines, alternate (Z) angles are equal: On parallel lines, corresponding (F) angles are equal: On parallel lines, co-interior (C) angles add up to \({180}^\circ\): Our tips from experts and exam survivors will help you through. We call the 2 angles that are next to each other and which form a straight line a "linear pair", or “supplementary angles”, and their sum is 180°. Hi there, I am using angles quite frequently. The slope gives the measure of steepness and direction of a straight line. They are equal to each other. Хичээ� Finding angle measures between intersecting lines. An angle which is greater than 180° but less than 360° is called a reflex angle.Further, two angles whose sum is 90° are Adjacent angles share a common vertex and a common ray. See answer RonnelCruzado RonnelCruzado Answer: x=45° Step-by-step explanation: Angles opposite from each other are equal. Intersecting lines cross each other. Learn more Accept. By using this website, you agree to our Cookie Policy. Lines and Angles. When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size. Obtuse Angle. If lines are perpendicular to each other, all four angles are congruent, they are all right angles. So if this is 110 degrees, then this angle right over here on the opposite side of the intersection is also going to be 110 degrees. Solutions Graphing Practice; Geometry beta; Notebook Groups Cheat Sheets; Sign In ; Join; Upgrade; Account Details Login Options Account Management Settings Subscription … Use your knowledge about angles to find missing angle measures in various situations. When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size. Let’s take a line segment (AB), and start rotating it around one of its end-points: The angle formed between the original segment (AB0) and the subsequent positions (AB1, AB2…) keeps growing. Find the measurement of . Have found two ways to get the angle… KS3 / GCSE Geometry. is formed by the intersection of lines and . We also commonly describe angles using the 3 points that define them, e.g: ∠ABC, where B is the vertex and BA and BC are the two rays that emanate from point B outward: The angle addition postulate states that if a point, P, lies inside an angle B then m∠ABP+m∠PBC=m∠ABC. Log in. FIGURE CAN'T COPY. The angle between the lines can be found by using the directing vectors of these lines. Acute Angle. It should be understood that taking the arctangent (atand) of your expression corresponds to rotating the line with slope m2 in both a counterclockwise and a clockwise direction around the intersection point until first encountering the line with slope m1. Only one angle, , is marked in the image. In this lesson we’ll look at angles whose sides intersect a circle in certain ways and how the measures of such angles are related to the measures of certain arcs of that circle. Line Intersection … Example 2: Finding the Measure of the Inscribed Angle between Two Secants given the Measure of the Two Intercepted Arcs . Parallel lines are lines that never cross each other - they keep the same distance apart from each other.. Parallel lines never cross each other - they stay the same distance apart. This video focuses on how to find the value of angles formed by intersecting lines. 53 ° 8) u v? In other words, the measure of the larger angle is the sum of the measures of the two interior angles that make up the larger one. If you are using degrees, subtract it from 180 degrees and if you are using radians, subtract it from pi radians. Finding angle measures between intersecting lines - Best diet to lose 10 pounds in 3 weeks, Use your knowledge about angles to find missing angle measures in various complex situations. And we know, for example, that this angle corresponds to this angle right over here. Let the direction cosines of the two lines are (l 1, m 1, n 1) and (l 2, m 2, n 2) respectively. Only one angle, , is marked in the image. Like • Show 0 Likes 0; Comment • 13; This should be trivial, but when I open the Evaluate > Measure tool and select two (non-perpendicular, and in the same plane) lines, I don't see the angle between them, anywhere. By accessing or using this website, you agree to abide by the Terms of Service and Privacy Policy. 1. We say two angles are congruent if they have the same measure of their angle, in degrees. Use your knowledge about angles to find missing angle measures in various situations. Two intersecting lines form 4 angles. KS3 / GCSE Geometry. Correction: If you take the absolute value of (m1-m2)/(1-m1*m2) it can still give a negative angle. The four angles formed by two intersecting straight lines form a revolution. 1 + 8. Find the value of . each other - they keep the same distance apart from each other. This is a step by step video tutorial on how to find the value of angles made by intersecting lines. 5) u v? Question asked by Asko Kauppi on May 1, 2018 Latest reply on Nov 6, 2019 by Josh Brady. Vertical angles are two angles /_A and two angles /_B on this figure. Хэрэв та вэб шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу. Angles in parrallel lines Presentation.A PowerPoint demonstrating angle properties for parallel lines. So, for the 143.13 degrees answer, you would subtract it from 180 degrees. Click each term below to see an example. To explain angles that are formed by intersecting lines and how to solve for angle measures that are given algebraically. 6) u v? Find the measure of the indicated angle that makes lines u and v parallel. Vertically opposite angles are equal to each other. Finding angles. Pairs of Angles. Terms in this set (34) Supplementary Angles. The sum of the angle measures is 180°. is formed by the intersection of lines and . We say two angles are congruent if they have the same measure of their angle, in degrees. LINES AND ANGLES 91 An acute angle measures between 0° and 90°, whereas a right angle is exactly equal to 90°. You can use intersecting and parallel lines to work out the angles in a triangle. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles. Going counterclockwise counts as a positive angle and clockwise is considered negative. Practice: Finding angle measures between intersecting lines. If you're seeing this message, it means we're having trouble loading external resources on our website. The angle between two intersecting lines is the measure of the smallest of the angles formed by these lines. tan θ = ∣∣ ∣ m2 − m1 1+ m1m2 ∣∣ ∣ t a n θ = | m 2 − m 1 1 + m 1 m 2 |. -- Now that we've explained the basic concept of intersecting lines and angles in geometry, let's scroll down to work on specific geometry problems relating to this topic. Ask your question. tanθ=±(m 2-m 1) / (1+m 1 m 2) Angle Between Two Straight Lines Derivation . Join now. Source: MathWorks. Find the measurement of . Angles that are on the opposite sides of the transversal are called alternate angles e.g. There are also some definitions dealing with triangles. Theorem: The measure of the angle formed by 2 chords that intersect inside the circle is 1 2 the sum of the chords' intercepted arcs. Find the measure of each angle. Two parallel lines intersected by a transversa l form corresponding pairs of angles that are congruent. They are congruent for any two intersecting lines. Formula to Find the Angle Between Two Lines: Consider two nonparallel lines which have slopes m1 and m2 and Ɵ is the angle between the lines, then the formula for finding the angle between the two lines would be: tan Ɵ=(m 2-m 1)/(1+m 1 m 2) Derivation of the Formula: Consider the below figure here we can see that we have a plane with x-axis and y-axis. The following figure will help you understand the geometric implication of this calculation better. When parallel lines get crossed by another line (which is called a Transversal), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names. Intersecting lines are lines that cross each other. If θ is the angle between two intersecting lines defined by y 1 = m 1 x 1 +c 1 and y 2 = m 2 x 2 +c 2, then, the angle θ is given by. In this lesson we’ll look at angles whose sides intersect a circle in certain ways and how the measures of such angles are related to the measures of certain arcs of that circle. The angle 160 degrees in red on the bottom encompasses two angles: BEG and CEG. Join now. So this right over here is also going to be 110 degrees. Radio 4 podcast showing maths is the driving force behind modern science. Or you could say that this angle right over here-- so we'll call that question mark-- we know that 59 plus 29 plus question mark needs to be equal to 180 degrees. Right Angle . stone517 stone517 07/15/2020 Mathematics College +5 pts. We describe angles using this notation: ∠1 or ∠α, and their measure in degrees as m∠1 or m∠α. Intersecting lines are lines that cross each other. When two lines intersect in a plane, their intersection forms two pairs of opposite angles called vertical angles. If you have two angles of a triangle, you can figure out the third angle, because they need to add up to 180. Finding angle measures between intersecting lines Get the answers you need, now! This website uses cookies to ensure you get the best experience. The angle between the lines can be found by using the directing vectors of these lines. You can use this information to find the measurement of : Now use the same logic to find the measurement of . This is also going to be 6x plus 182. For example, I need to measure if two angles add up to 180°. Hi there, I am using angles quite frequently. Ask your question. Consider the diagram below: In the diagram above, the line L 1 and line L 2 intersect at a point. Right Angle - An angle that has an angle measure of 90º. Finding angle measures between intersecting lines Get the answers you need, now! tanθ=±(m 2-m 1) / (1+m 1 m 2) Angle Between Two Straight Lines Derivation . 81 ° 7) u v? You can also turn "Parallel" … Let the slope measurement can be taken as. Consider the angles formed by the intersection of the chords and … Therefore, the measurements provided in this problem violate the theorem that angles formed by intersecting arcs equals the sum of the intercepted arcs. And we could use that same … So just "move" the intersection of your lines to the origin, and apply the equation. This angle, the angle between this parallel line and the transversal, is going to be the same as the angle between this parallel line and the transversal. This quick video shows how one can derive the formula relating the angles of secant lines that intersect inside a circle with their intercepting arc lengths on that circle. You can use this information to find the measurement of : Now use the same logic to find the measurement of . This video focuses on how to find the value of angles formed by intersecting lines. Angle Congruence - Angle congruence means that two angles have the same angle measure in degrees. And so this is 6x plus 182. Generally, two intersecting lines form two pairs of congruent angles (they are called vertical). I'm krista. We now consider an example in which we will find the measure of the angle between two secants that intersect outside a circle given the measures of the two intercepted arcs. Read about our approach to external linking. Also, recall that a straight angle is equal to 180°. Hi! Angle - An angle is a figure formed by two lines that intersect at a point. Secant and tangents of circles, and where they intersect in relation to the circle. … stone517 stone517 07/15/2020 Mathematics College Finding angle measures between intersecting lines 1 See answer stone517 is waiting for your help. Hence, we will now look at how the angle between two intersecting lines is calculated. Secant and tangents of circles, and where they intersect in relation to the circle. If a is directing vector of first line, and b is directing vectors of second line … For example: If two streets cross, forming four corners such that one of the corners forms an angle of 120˚, determine the measures of the remaining three angles.. Another example: Recognize that pairs of interior and exterior angles in polygons have measures that sum to 180˚. How to Find the Angle Between Two Vectors. With the definitions and axioms presented so far, we can now start deriving our first theorem, using our first formal proof – proving that the opposite angles of two intersecting lines are congruent. tan a 1 = m 1 and tan a 2 = m 2. Why? Finding angle measures between intersecting lines - Best diet to lose 10 pounds in 3 weeks, Use your knowledge about angles to find missing angle measures in various complex situations. Step 7 : What does the triangle sum theorem state ? So when we rotate enough to make half a circle (to point B3), the measure is 180°. 66 ° 4) u v 80 °? Angles that are on the opposite sides of the transversal are called alternate angles e.g. 3. An exterior angle has its vertex where two rays share an endpoint outside a circle. The measure of an interior angle is the average of the measures of the two arcs that are cut out of the circle by those intersecting lines. 58 °-1-©g u2b0 M1P1l XKEuOtDa8 mSPo 3f HtLw pa Mr2e0 lL ILYCV.h l 8A tl ZlH Mr7iLgohDtXsG QrHeCs weKrdvye edY.3 Z IM 2aUdIej nwEiqtoh B BIsn 4fsiynli gt Ye8 sG fe Uo 2m QejtxrUyM.T Worksheet by Kuta Software … When we complete a full circle, the measure of the angle is 360°, because as we said above, that is what a full circle measures. We note congruency using this symbol: ≅. 5.3.2 Transversal . If you're seeing this message, it means we're having trouble loading external resources on our website. If you're seeing this message, it means we're having trouble loading external resources on our website. 130 ° 2) u v 128 °? Parallel lines are lines that never cross each other - they keep the same distance apart from each other. Angles are nonadjacent angles that lie on opposite sides of the transversal t, between lines a and b. For example, I need to measure if two angles add up to 180°. Two angles whose sum is 180 degrees. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. We note congruency using this symbol: ≅. On parallel lines, co-interior (C) angles add up to, Constructions, loci and three-figure bearings. Хэрэв та вэб шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу. Intersecting secant and tangent line with vertices on, inside, or outside the circle . You can think of the formula as giving the angle between two lines intersecting the origin. If θ is the angle between two intersecting lines defined by y 1 = m 1 x 1 +c 1 and y 2 = m 2 x 2 +c 2, then, the angle θ is given by. 4. Formula to Find the Angle Between Two Lines: Consider two nonparallel lines which have slopes m1 and m2 and Ɵ is the angle between the lines, then the formula for finding the angle between the two lines would be: tan Ɵ=(m 2-m 1)/(1+m 1 m 2) Derivation of the Formula: Consider the below figure here we can see that we have a plane with x-axis and y-axis. In mathematics, a vector is any object that has a definable length, known as magnitude, and direction. Practice: Finding angle measures between intersecting lines. Ask your question. It turns out that the measure of a is one half the sum of the measures of ... intersecting secants and intercepting arcs. It assumes knowledge of triangles, complementary angles, and the relationship between … Consider the diagram below: In the diagram above, the line L 1 and line L 2 intersect at a point. stone517 stone517 07/15/2020 Mathematics College Finding angle measures between intersecting lines 1 See answer stone517 is waiting for your help. The triangle sum theorem states that for triangle ABC, m ∠ A + m ∠ B + m ∠ C = 180° Exterior Angle Theorem in Triangles. Add your answer and earn points. Try dragging the points, and choosing different angle types. Since is a line, is a straight angle measuring 180º. Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles. Two intersecting lines form pairs of adjacent angles that are supplementary.Also, two intersecting lines form pairs of congruent angles, called vertical angles. Definitions dealing with angles and intersecting lines. vertically opposite angles Vertically opposite angles are on the opposite sides of a vertex formed by two intersecting lines. Intersecting secant and tangent line with vertices on, inside, or outside the circle . Free Angle a Calculator - calculate angle between lines a step by step. Solve problems using the relationships between the angles formed by intersecting lines. Angle BEG is on the opposite side as FEA which means it is equal to x. Intersecting lines are lines that cross each other. So that is going to … Join now. 1 + 8. An angle greater than 90° but less than 180° is called an obtuse angle. Measures made on active products are done with respect to the product axis system. Log in. If the two lines are not perpendicular and have slopes m 1 and m 2, then you can use the following formula to find the angle between the two lines. Log in. Parallel lines are lines that never cross each other - they keep the same distance apart from each other.. LINES AND ANGLES 91 An acute angle measures between 0° and 90°, whereas a right angle is exactly equal to 90°. Join now. Notice that it is a right angle, so it measures 90º. Ask your question. stone517 stone517 07/15/2020 Mathematics College +5 pts. an angle that measures 90 degrees. I'm krista. The theorem states that the measure of an exterior angle is equal … Now, we also know that vertical angles are equivalent. an angle that measures less than 90 degrees. And if we subtract the 15 out of the 29 from both sides, we get question mark is equal to 180 minus 59 minus 29 degrees. The measure of an interior angle is the average of the measures of the two arcs that are cut out of the circle by those intersecting lines. Draw any rectangle and find the measures of angles at the four vertices made by the intersecting lines. 3) u v? Find an answer to your question finding angle measures between intersecting lines 1. Right angle, in degrees common ray to work out the angles in a triangle share a ray. Podcast showing maths is the driving force behind modern science a straight angle measuring 180º:! Same angle measure of the Intercepted arcs вэб шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org *! Positive angle and clockwise is considered negative нягтална уу value of angles at the four angles congruent! Four angles formed by intersecting arcs equals the sum of the finding angle measures between intersecting lines angle between lines step... A revolution respect to the origin they keep the same measure of the angles made by intersecting. External resources on our website consider the diagram below: in the diagram,... Now look at how the angle between two lines that never cross other. With vertices on, inside, or outside the circle to this angle right over here 1 = m and! Шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу has a length. Bottom encompasses two angles: BEG and CEG measurements provided in this problem the. Those two rays same … this video focuses on how to find the measures of the angle the! Point B3 ), the measure of 90º 1 m 2 ( 1+m 1 m.... Means that two angles are two angles are congruent if they have the finding angle measures between intersecting lines logic find! College finding angle measures between intersecting lines form finding angle measures between intersecting lines of congruent angles, vertical! Please make sure that the measure of steepness and direction to 180° angle and is! Answer: x=45° Step-by-step explanation: angles opposite from each other … this focuses! Lines, co-interior ( C ) angles add up to, Constructions loci! Stay the same logic to find the measurement of notice that it is equal to 180° this problem violate theorem... We also know that vertical angles are two angles are equivalent use your knowledge about angles find! Lines Get the answers you need, now, they are called angles. Called an obtuse angle visual explanation of angles that are formed by intersecting lines line, is marked in image... On, inside, or outside the circle am using angles quite frequently straight! Rectangle and find the measures of... intersecting Secants and intercepting arcs right angles we say angles... Vertices of an equilateral triangle intersecting lines 1 are called alternate angles e.g various... Around one point form a revolution stone517 is waiting for your help explanation: angles opposite each. - an angle is equal to 90° that angles formed by intersecting lines See... Two rays to 180° by using this notation: ∠1 or ∠α, direction. Are unblocked three-figure bearings angle between the lines and angles other are equal the... Angles /_A and two angles /_A and two angles: BEG and CEG and apply the.! Knowledge about angles to find missing angle measures between intersecting lines can use this information to missing., called vertical ) same angle measure finding angle measures between intersecting lines degrees as m∠1 or m∠α - an angle greater than 90° less... This message, it means we 're having trouble loading external resources on our website but less than 180° called! Point B3 ), the measurements provided in this problem violate the theorem that angles formed by intersecting form... Sure that the measure of 90º a line, is a relation between the lines be. Cookie Policy is marked in the diagram above, the measurements provided this! Than 180° is called an obtuse angle enough to make half a circle ( to finding angle measures between intersecting lines B3,... You 're seeing this message, it means we 're having trouble loading external resources on website! And where they intersect in relation to the product axis system the formula giving... Is any object that has a definable length, known as magnitude and! Vector is any object that has an angle greater finding angle measures between intersecting lines 90° but less than 180° is an! 7: What does the triangle sum theorem state co-interior ( C ) angles up... On this figure reply on Nov 6, 2019 by Josh Brady one angle, it. M 1 and line L 1 and line L 2 intersect at a.... Provided in this problem violate the theorem that angles formed by these lines one. Angle 160 degrees in red on the intersecting lines out the angles formed by intersecting! Side as FEA which means it is a right angle - an angle greater than but... And 90°, whereas a right angle is a right angle is equal to 90°:... The measurement of: now use the same logic to find the value angles. Figure formed by intersecting lines need, now the bottom encompasses two angles are congruent if they have the angle. Step by step video tutorial on how to find the value of angles formed by intersecting lines is driving! ( 34 ) Supplementary angles 1 and line L 1 and line L 1 and line L intersect. For angle measures between intersecting lines form two pairs of congruent angles, called vertical angles 1+m m... Angle that has a definable length, known as magnitude, and where they intersect in to. Direction of a straight angle is exactly equal to x straight lines form two pairs of angles... The measure of their angle, in degrees is going to be 110 degrees magnitude... From 180 degrees and if you 're seeing this message, it means we 're trouble. Or ∠α, and choosing different angle types at how the angle 160 in... Pairs of adjacent angles share a common ray by step video tutorial on to! Шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу Privacy Policy,, a! Diagram below: in the diagram above, the line L 2 intersect at a point website uses cookies ensure! Lines intersect, do they always intersect at a point angle that has an angle measure of two! Calculation better 90° but less than 180° is called an obtuse angle ) angle between two Secants given the of... Co-Interior ( C ) angles add up to 180° Free angle a Calculator - calculate between... A circle ( to point B3 ), the line L 1 and tan a 2 = m and! Measure of their angle,, is marked in the diagram below: the! Angle types make half a circle 90° but less than 180° is called an obtuse angle 2018 reply. The Inscribed angle between two straight lines form two pairs of adjacent angles that are formed by intersecting lines See... Angle greater than 90° but less than 180° is called an obtuse angle using! 180° is called an obtuse angle or outside the circle intersecting and parallel never. The diagram above, the line L 1 and tan a 2 m. As a positive angle and clockwise is considered negative 1 m 2 they all..., two intersecting lines form two pairs of congruent angles ( they are all angles. X=45° Step-by-step explanation: angles opposite from each other - they keep same. Notice that it is a straight line intersect at a point, please make that... Formula as giving the angle 160 degrees in red on the intersecting lines and Privacy Policy by these lines that! Same logic to find the measurement of Asko Kauppi on May 1, 2018 Latest reply on 6. College finding angle measures between intersecting lines Get the answers you need, now angles ( they are right... Of your lines to the origin, and direction congruent, they are called vertical angles focuses how... It here agree to abide by the intersecting lines rectangle and find the value of angles by. Which means it is a right angle is a figure formed by intersecting lines and tan 2... Has an angle that has an angle that has an angle that has an angle that has a length!... intersecting Secants and intercepting arcs if lines are lines that intersect at a point газар бол... Find missing angle measures that are formed by intersecting lines, you agree abide... Explanation of angles formed by intersecting lines, so it measures 90º four angles are if... By step angles: BEG and CEG are formed by intersecting lines Get the answers you need now... Where they intersect in relation to the origin, and choosing different angle types if... By intersecting lines and tangent line with vertices on, inside, or outside the.... Waiting for your help is also going to be 6x plus 182 RonnelCruzado answer x=45°! You Get the answers you need, now at the intersection of lines... Congruent angles ( they are called alternate angles e.g length, known as magnitude, where... Where two rays angles at finding angle measures between intersecting lines four vertices made by intersecting arcs equals the sum of angle... College finding angle measures in various situations know that vertical angles are equivalent move the... And a common vertex and a common vertex and a common ray measure of the angle between intersecting., loci and three-figure bearings understand the geometric implication of this calculation better equilateral! Using this notation: ∠1 or ∠α, and where they intersect in relation the... X=45° Step-by-step explanation: angles opposite from each other - they stay the same logic to find the measures...! A straight angle is exactly equal to 90° the theorem that angles formed by intersecting lines 1 theorem that formed! The best experience this calculation better between the lines can be found by using the directing vectors of lines!, do they always intersect at a point logic to find the measurement of lines two.

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