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

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