Question

Angle DEF and angle FEG are supplementary. The measure of angle DEF = (9x +1) and the measure of angle FEG = (8x + 9). What is the measure of angle FEG?

Answer 1

By definition, the measures of supplementary angles sum to 180.
m<DEF + m<FEG = 180
9x + 1 + 8x + 9 =180
17x + 10 = 180
17x = 170
x = 10

measure of angle FEG = (8x + 9) = 8*10 + 9 = 80 + 9 = 89 -->*