The difference in the measures of two complementary angles is 12 degrees. find the measure of the angles?

If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.

51° and 39°

Step-by-step explanation:

Complementary angles are angles that add up to 90°

If we let one angle = x

Then the other angle is (90 - x)

Since the difference between the two angles is 12°

⇒ x - (90 - x) = 12

x - 90 + x = 12

2x - 90 = 12

2x = 102

x = 102/2

x = 51°

So, one of the angle is 51°

The other angle = 90 - x = 90 - 51 = 39°