What is the measure of an angle that is nine times it's complement

9

Step-by-step explanation:

Assume that the measure of the angle is x

That would mean that the compliment of that angle would be 9x

Two angles are complementary when their sum equals 90

That means x + 9x equals 90.

We can combine x and 9x into 10x, leaving us with 10x=90

Divide both sides by 10

x=9