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?

Question
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°
0

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