Question

What is the measure of each angle?

Answer 1

M of angle 1: 87

Recognize that alt. int. angles are congruent. Find the measure of angle three,  which is an alt. int. angle of angle 1. Angle three is a supplementary angle to the angle right next to it, which measures 93. To find m of angle three subtract 180 from 93. M angle 3 = 87, therefore, the measure of angle 1 is 87 as well.

M of angle 2: 49

All vertical angles are congruent

M of angle 3: 87

Look at the solution for the first angle

M of angle 4: 44

If you  look closely, angle 4 is part of a triangle with two known sides. Thus all we have to do is subtract 180 from the sum of the known sides.

49 + 87 = 136

180 - 36 =44