Question

angle W and angle Y are supplementary. If measure of angle W=5x + 20 and measure of angle Y= 4×-11 find measure of angle W and measure of angle Y.

Answer 1

Two Angles are Supplementary when they add up to 180 degrees.

5x+20 + 4x-11 = 180
9x + 9 = 180  |:9
x + 1 = 20
x = 20 - 1
x = 19

m∠W = 5x + 20 = 5*19 + 20 = 115°
m∠Y = 4x - 11 = 4*19 - 11 = 65°