Question

Two angles are complementary. The measure of one angle is 6º more than five times the measure of the other angle. Find the

measure of each angle.

Answer 1

14 degrees and 76 degrees

Answer 2

Complementary means that the two angles sum to 90 degrees.

So based on the problem, let:

1st angle=5x+6

2nd angle=x

Now create an equation.

x+5x+6=90

6x=84

x=14

5x+6=76

answer: 14 degrees and 76 degrees