Angles Of Parallel Lines Cut By Transversals – Made Easy

That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! On their nightly food run, the three raccoons crashed their shopping cart... AGAIN. For each transversal, the raccoons only have to measure ONE angle. They decide to practice going around the sharp corners and tight angles during the day, before they get their loot. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. Can you see other pairs of corresponding angles here? Look at what happens when this same transversal intersects additional parallel lines. And whenever two PARALLEL lines are cut by a transversal, pairs of corresponding angles are CONGRUENT. 1 and 7 are a pair of alternate exterior angles and so are 2 and 8. Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal.

1. Mathswatch answers angles in parallel lines
2. Parallel lines and angles worksheet pdf
3. Parallel lines and angles worksheet answers
4. Two parallel lines angles

Mathswatch Answers Angles In Parallel Lines

And since angles 2 and 4 are vertical, angle 4 must also be 120 degrees. Transcript Angles of Parallel Lines Cut by Transversals. If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. After watching this video, you will be prepared to find missing angles in scenarios where parallel lines are cut by a transversal. Common Core Standard(s) in focus: 8. Can you see another pair of alternate interior angles? These lines are called TRANSVERSALS. Well, THAT was definitely a TURN for the worse!

Parallel Lines And Angles Worksheet Pdf

It's time to go back to the drawing stump. And angle 6 must be equal to angle 2 because they are corresponding angles. In fact, when parallel lines are cut by a transversal, there are a lot of congruent angles. 3 and 5 are ALSO alternate interior. We call angle pairs like angle 6 and angle 4 alternate interior angles because they are found on ALTERNATE sides of the transversal and they are both INTERIOR to the two parallel lines. Let's look at this map of their city. But there are several roads which CROSS the parallel ones. 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. The raccoons are trying to corner the market on food scraps, angling for a night-time feast! Let's show this visually. 24-hour help provided by teachers who are always there to assist when you need it.

Parallel Lines And Angles Worksheet Answers

Videos for all grades and subjects that explain school material in a short and concise way. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles. Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal.

Two Parallel Lines Angles

When parallel lines are cut by a transversal, congruent angle pairs are created. We just looked at alternate interior angles, but we also have pairs of angles that are called alternate EXTERIOR 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. Based on the name, which angle pairs do you think would be called alternate exterior angles? Do we have enough information to determine the measure of angle 2? Can you see any other angles that are also 60 degrees? They DON'T intersect. It concludes with using congruent angles pairs to fill in missing measures. Boost your confidence in class by studying before tests and mock tests with our fun exercises. Since angle 6 and angle 4 are both equal to the same angle, they also must be equal to each other! Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers!

That means angle 5 is also 60 degrees. It leads to defining and identifying corresponding, alternate interior and alternate exterior angles. Start your free trial quickly and easily, and have fun improving your grades! We are going to use angle 2 to help us compare the two angles. Corresponding angles are pairs of angles that are in the SAME location around their respective vertices.