Question

Help please! Two angles are complementary. One is three times the measure of the other. What are the measures if each angle?

Answer 1

22.5 degrees and 67.5 degrees

Explanation:

3x + x = 90

4x=90

x=90/4

x=22.5

other angle is 3x which is 67.5

Answer 2

Answer: 22.5 and 67.5

Explanation:

A complementary angle means that two angles add up to 90°

If one angle is 3 times the other,

let x be the value of the other angle.

The bigger angle would be 3x.

Therefore,

3x+x=90°

4x=90°

x=22.5

22.5 is the measure of the smaller angle

and 22.5x3=67.5 would be the other (larger) angle.