find the measure of both angles

Question

the measure of an angle is nine times the measure of its complement

Answer 1

Complementary angles add up to 90 degrees.

 

9x + x = 90     add like terms

 

10x = 90     Divide both sides by 10

 

x = 9

 

90 - 9 = 81 for its complement

 

The angels are 9 degrees and 81 degrees.

Answer 2

a + 9a = 90

10a = 90

a = 9

 

9 and 81.