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
