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# The measure of the complement of an angle is three times the measure of the angle. What is the measure of each angle? # The measure of the complement of an angle is three times the measure of the angle. What is the measure of each angle?

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Non-right triangles and trigonometry asked 2020-11-30
The measure of the complement of an angle is three times the measure of the angle. What is the measure of each angle?

## Answers (1) 2020-12-01
If x is the measure of an angle, then 90−x is the measure of its complement because complementary angles have an angle sum of 90°.
The measure of the complement of an angle is three times the measure of the angle so we write:
90−x=3(x)
Solve for x:
90−x=3x
90=4x
22.5=x
So, the measures of the angles are:
22.5° and 67.5°

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