Question

The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?

Answer 1

9 ; 81

Explanation:

one angle = x

It's complementary angle = 9*x = 9x

Sum of complementary angles = 90

x + 9x = 90

10x = 90

x = 90/10

x = 9

It's complementary angle = 9x = 9*9 = 81

Answer 2

9, 81

Explanation:

Complementary angles add to 90

Let x = first angle

The other angle is 9x

x+9x = 90

10x = 90

Divide each side by 10

10x/10 =90/10

x = 9

The first angle is 9

The second angle is 9*9 =81