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°

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°