Two angles are complementary. their difference is 38. find the angles

Hi there! The answer is 26° and 64°.

The sum of the complementary angles is (always) 90°. Let the smallest angle be represented by x. Then we get the following sum of angles.


This sum equals 90°, so we get


Subtract 38 from both sides.


Divide both sides by 2.


Now we now that the smallest angle measures 26°. The bigger angle measures x + 38, so


Hence, the angles measure 26° and 64°