Question

Suppose you are given two angles A and B in which angle a is equal to angle b. If the measure of a compliment of angle a is equal to 5x+20 and the measure of angle b equals 3x+40, what is the measure of a supplement of angle

Answer 1

5x + 20 = 90 - a = 90 - (3x + 40)
5x + 20 = 90 - 3x - 40 = 50 - 3x
5x + 3x = 50 - 20
8x = 30
x = 30/8 = 15/4

b = 3(15/4) + 40 = 45/4 + 40 = 51.25
The measure of a supplementary angle is 180 - 51.25 = 128.75