Question

The measure of an angle is nine times the measure of its complement. find the measure of each angle.

Answer 1

Two angles are complementary when they add up to 90 degrees 

smaller angle = x
larger angle = 9x

x + 9x = 90
10x = 90
x = 90/10
x = 9°  ← smaller angle

larger angle = 9x = 9 * 9 = 81°