Recall that two angles are complementary if the sum of their measures is​ 90°. Find the measures of two complementary angles if one angle is five times the other angle.

Answer 1

Let x = first angle

let 5x = second angle

First angle + second angle = 90

x+5x=90 Combine like terms

6x=90 Divide both sides by 6

6x/6=90/6 Simplify

x=15

5x=5(15)=75

The first angle is 15 degrees , the second angle is 75 degrees

Answer 2

A+B=90

A=5B

5B+B=90

6B=90

B=90/6=15

A=5B=5(15)=75

The angles are 15 and 75 degrees