The raccoons are trying to corner the market on food scraps, angling for a night-time feast! 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. Corresponding angles are in the SAME position around their respective vertices and there are FOUR such pairs. Boost your confidence in class by studying before tests and mock tests with our fun exercises. To put this surefire plan into action they'll have to use their knowledge of parallel lines and transversals. After watching this video, you will be prepared to find missing angles in scenarios where parallel lines are cut by a transversal. The measure of angle 1 is 60 degrees.
Transcript Angles of Parallel Lines Cut by Transversals. For each transversal, the raccoons only have to measure ONE angle. 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. That means angle 5 is also 60 degrees. Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal. And angle 6 must be equal to angle 2 because they are corresponding angles. Since angles 1 and 2 are angles on a line, they sum to 180 degrees.
The raccoons crashed HERE at angle 1. Let's take a look at angle 5. Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles. Angles 2 and 6 are also corresponding angles. We are going to use angle 2 to help us compare the two angles. Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers! It leads to defining and identifying corresponding, alternate interior and alternate exterior angles. All the HORIZONTAL roads are parallel lines. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old. While they are riding around, let's review what we've learned. 3 and 5 are ALSO alternate interior.
Corresponding angles are pairs of angles that are in the SAME location around their respective vertices. Let's look at this map of their city. That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! Well, THAT was definitely a TURN for the worse! It's time to go back to the drawing stump. We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent? The lesson begins with the definition of parallel lines and transversals. Common Core Standard(s) in focus: 8. Videos for all grades and subjects that explain school material in a short and concise way. Now, let's use our knowledge of vertical and corresponding angles to prove it. Look at what happens when this same transversal intersects additional parallel lines. Do we have enough information to determine the measure of angle 2? If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. Since angle 6 and angle 4 are both equal to the same angle, they also must be equal to each other!
Can you see any other angles that are also 60 degrees? If we translate angle 1 along the transversal until it overlaps angle 5, it looks like they are congruent.