Types of Angles

Lines a and b are parallel. They are cut by a transversal Lines a and b are parallel. They are cut by a transversal. This creates 8 different angles. Draw this picture on your paper. Be sure to label the angles correctly.

Angles 3,4,5, and 6 are interior angles, because they are inside the parallel lines. Angles 1,2,7, and 8 are exterior angles, because they are outside the parallel lines.

Corresponding angles are congruent. Corresponding angles – angles that have the same position on two different parallel lines cut by a transversal Corresponding angles are congruent. 1 and 5 2 and 6 4 and 8 3 and 7

Alternate exterior angles are congruent. Alternate exterior angles – nonadjacent exterior angles found on opposite sides of the transversal Alternate exterior angles are congruent. 1 and 7 2 and 8

Alternate interior angles are congruent. Alternate interior angles – nonadjacent interior angles found on opposite sides of the transversal Alternate interior angles are congruent. 4 and 6 3 and 5

Supplementary angles – two angles whose sum is 180 1 and 4 5 and 8 2 and 3 6 and 7 1 and 2 3 and 4 5 and 6 7 and 8

Complimentary angles – angles whose sum is 90 b Complimentary angles – angles whose sum is 90 ma + mb = 90

Vertical angles are congruent. Vertical angles – two pairs of opposite angles formed by intersecting lines Vertical angles are congruent. 1 and 3 2 and 4 5 and 7 6 and 8

If 4 = 50, find the measure of each of the other angles If 4 = 50, find the measure of each of the other angles. Give a reason for each answer.

124 x Find the value of x.

In the figure, m1 = 80, find the measure of the other 3 angles. Explain your reasoning.

Find m4 if m2 = 80. Explain your reasoning.

Find the measure of each angle. b = 2x + 17 a = 5x – 40