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

sodni3

sodni3

Answered question

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?

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2020-12-01Added 98 answers

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:
90x=3(x)
Solve for x:
90x=3x
90=4x
22.5=x
So, the measures of the angles are:
22.5 and 67.5

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Here is video explanation

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