Question

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

Answer 1

15 and 75.

Explanation:

two angles are complementary if their sum is equal to 90 degrees. here, one angle is 5 times the other. let the smaller angle be x, and the larger be 5x.

we have the equation
`x+5x=6x=90`

dividing both sides by 6 gives us
`x=15.`

so, the smaller angle is 15, and the larger is 75.