Angles And Parallel Lines Answers

To put this surefire plan into action they'll have to use their knowledge of parallel lines and transversals. The raccoons crashed HERE at angle 1. Based on the name, which angle pairs do you think would be called alternate exterior angles? So are angles 3 and 7 and angles 4 and 8. Can you see other pairs of corresponding angles here? We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent?

Parallel Lines And Angles Worksheet Answers

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. Let's take a look at angle 5. Now, let's use our knowledge of vertical and corresponding angles to prove it. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. The lesson begins with the definition of parallel lines and transversals. Transcript Angles of Parallel Lines Cut by Transversals. The measure of angle 1 is 60 degrees. For each transversal, the raccoons only have to measure ONE angle. Start your free trial quickly and easily, and have fun improving your grades!

Two Parallel Lines Angles

Can you see another pair of alternate interior angles? Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. Since angles 1 and 2 are angles on a line, they sum to 180 degrees. It's time to go back to the drawing stump. Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal. That's because angle 1 and angle 3 are vertical angles, and vertical angles are always equal in measure.

Parallel Lines And Angles Pdf

Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers! Alternate EXTERIOR angles are on alternate sides of the transversal and EXTERIOR to the parallel lines and there are also two such pairs. On their nightly food run, the three raccoons crashed their shopping cart... AGAIN. And angle 6 must be equal to angle 2 because they are corresponding angles. 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. They decide to practice going around the sharp corners and tight angles during the day, before they get their loot. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles.

Parallel Lines And Angles Worksheet Pdf

Boost your confidence in class by studying before tests and mock tests with our fun exercises. That means angle 5 is also 60 degrees. They DON'T intersect. After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal. We can use congruent angle pairs to fill in the measures for THESE angles as well. Can you see any other angles that are also 60 degrees? Angles 2 and 6 are also corresponding angles. 3 and 5 are ALSO alternate interior. Angle 1 and angle 5 are examples of CORRESPONDING angles. Now it's time for some practice before they do a shopping. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old. The raccoons only need to practice driving their shopping cart around ONE corner to be ready for ALL the intersections along this transversal.

That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! While they are riding around, let's review what we've learned. Now we know all of the angles around this intersection, but what about the angles at the other intersection? 24-hour help provided by teachers who are always there to assist when you need it. Videos for all grades and subjects that explain school material in a short and concise way.