Question

Two angles are supplementary. one angle measures 12 degrees less than 5 times the other. find the measure of each angle

Answer 1

Supplementary angles, when added, = 180 degrees

a + b = 180
a = 5b - 12

5b - 12 + b = 180
6b - 12 = 180
6b = 180 + 12
6b = 192
b = 192/6
b = 32 <=== one angle is 32 degrees

a = 5b - 12
a = 5(32) - 12
a = 160 - 12
a = 148 <=== the other angle is 148