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 - a180 - 150 = 30 degrees

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