An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

and

Recall that Angles that are complementary to each other add up to .

Let be the measure of the complementary angle.

If an angle is more than its complementary angle, the measure of that angle is . The sum of both angles are expressed but since the have to add to as they are complementary, .

Solving for :

Since the other angle measures , we can plug in the value of to find the measure of the angle.

Evaluating :

The measure of the angles are and