Question

The measure of one angle is three times the measure of its complement. Find the measure of each angle.

Answer 1

22.5 degrees and 67.5 degrees

Explanation:

Let the measure of the angle be x. The measure of its complement will be 90 - x, since complementary angles add up to 90 degrees. 3*(90-x) = 270 - 3x, so we have the equation:

270 - 3x = x

Add 3x to both sides:

4x = 270

Divide by 4 on both sides:

x = 67.5

Its complement is 90 - 67.5 = 22.5.