Question

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

Answer 1

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.

Answer 2

51° and 39°

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°