An angle is 10° more than the measure of its complement. Find the number of degrees in each angle. The angles measure degrees.

Let the angle be x. The complement of this angle would then be 90-x.

We are told that x is 10 more than 90-x, or x is 90-x+10, or x = 100 - x.

If x = 100 - x, then 2x = 100, and x = 50.

Check: If one angle is 50 degrees, the complement is 90-50, or 40 degrees.

Are 50 and 40 complementary? Yes. They add up to 90. Is 50 10 more than 40? Yes.

The measurements of these two angles are 40 and 50 degrees.