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

Supplementary angles are two angles that when add equal 180 degrees.

The supplement of an angle is 180 - n.

n = 17 (180 - n)

n = 3060 - 17n

n + 17n = 3060

18n = 3060

n = 3060/18

n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10) ... = 10 degrees.