find the measures of two complementary angles if one angle is 9 times the other angle.

Answer 1

Complementary angles are angles that add up to 90 degrees.

Let x equal one angle.

Thus...

x + 9x = 90

10x = 90

10x ÷ 10 = 90 ÷ 10

x = 9

One angle is 9

and

the other is 9x = 81