The measure of an angle is five times the measure of a supplementary angle. What is the measure of each angle?

Supplementary angles add up to 180 degrees.

so if u have one angle " a ", then its supplementary angle is " 180 - a "

a = 5 (180 - a)

a = 900 - 5a

5a + a = 900

6a = 900

a = 900/6

a = 150

and its supplementary angle is : 180 - a ... 180 - 150 = 30 degrees

so ur answer is : < a = 150 and its supplement angle is 30