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On their nightly food run, the three raccoons crashed their shopping cart... AGAIN. Alternate EXTERIOR angles are on alternate sides of the transversal and EXTERIOR to the parallel lines and there are also two such pairs. We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent? And whenever two PARALLEL lines are cut by a transversal, pairs of corresponding angles are CONGRUENT. We are going to use angle 2 to help us compare the two angles.

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In fact, when parallel lines are cut by a transversal, there are a lot of congruent angles. Well, THAT was definitely a TURN for the worse! Look at what happens when this same transversal intersects additional parallel lines. We just looked at alternate interior angles, but we also have pairs of angles that are called alternate EXTERIOR angles. The raccoons crashed HERE at angle 1. Common Core Standard(s) in focus: 8. Angles 2 and 6 are also corresponding angles. To put this surefire plan into action they'll have to use their knowledge of parallel lines and transversals.

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Start your free trial quickly and easily, and have fun improving your grades! The lesson begins with the definition of parallel lines and transversals. It's time to go back to the drawing stump. Based on the name, which angle pairs do you think would be called alternate exterior angles? It concludes with using congruent angles pairs to fill in missing measures.

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After watching this video, you will be prepared to find missing angles in scenarios where parallel lines are cut by a transversal. Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. The raccoons only need to practice driving their shopping cart around ONE corner to be ready for ALL the intersections along this transversal. Now we know all of the angles around this intersection, but what about the angles at the other intersection? Can you see another pair of alternate interior angles? And angle 6 must be equal to angle 2 because they are corresponding angles. Corresponding angles are pairs of angles that are in the SAME location around their respective vertices.

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They decide to practice going around the sharp corners and tight angles during the day, before they get their loot. That means the measure of angle 2 equals the measure of angle 6, the measure of angle 3 equals the measure of angle 7, and the measure of angle 4 equals the measure of angle 8. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles. It leads to defining and identifying corresponding, alternate interior and alternate exterior angles. Do we have enough information to determine the measure of angle 2? Let's show this visually. Corresponding angles are in the SAME position around their respective vertices and there are FOUR such pairs.

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The measure of angle 1 is 60 degrees. Can you see any other angles that are also 60 degrees? And since angles 2 and 4 are vertical, angle 4 must also be 120 degrees. Transcript Angles of Parallel Lines Cut by Transversals. Can you see other pairs of corresponding angles here? Since angle 6 and angle 4 are both equal to the same angle, they also must be equal to each other! Now it's time for some practice before they do a shopping.

That means angle 5 is also 60 degrees. Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers! Since angles 1 and 2 are angles on a line, they sum to 180 degrees. Boost your confidence in class by studying before tests and mock tests with our fun exercises. For each transversal, the raccoons only have to measure ONE angle.
That's because angle 1 and angle 3 are vertical angles, and vertical angles are always equal in measure. When parallel lines are cut by a transversal, congruent angle pairs are created. So are angles 3 and 7 and angles 4 and 8. That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! These lines are called TRANSVERSALS. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old. We can use congruent angle pairs to fill in the measures for THESE angles as well. Videos for all grades and subjects that explain school material in a short and concise way. But there are several roads which CROSS the parallel ones. After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal.

They can then use their knowledge of corresponding angles, alternate interior angles, and alternate exterior angles to find the measures for ALL the angles along that transversal. Let's look at this map of their city. They DON'T intersect. Let's take a look at angle 5. Now, let's use our knowledge of vertical and corresponding angles to prove it.

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