Question

If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle.

Answer 1

Set up and solve an equation:

3(90-x) = (180-x).  Then  270 - 3x = 180 - x, or   270 - 180 = 2x.
                                                                               90 = 2x, so x = 45 deg.

Is this true?     3(90-45) = (180-45)?  If so, x = 45 degrees is correct.