solve for angle A and angle B

Question

if angle A and angle B are supplementary angles and the measure of angle A is 5x the measure of angle B, find the of measure angle A and angle B

Answer 1

Supplementary angles add up to 180 degrees. We can use this fact and the info given in the problem to write expressions and solve by substitution to find the measure of each angle.

A = 5B

A + B = 180

(5B) + B = 180

6B = 180

B = 30

A = 5B = 5*30 = 150

A = 150 degrees, B = 30 degrees