Gather the necessary information. You will need to know which two angles are complementary. You will also need to know the measurement of at least one of the complementary angles.
Subtract the angle that you know from the number 90. For example, if one of the complementary angles is 30 degrees, subtract 30 from 90 to get 60 degrees. This difference is the measurement of the unknown angle in the complementary pair.
Subtract the smaller angle of the complementary pair from the larger angle. Using the example from above, 60 - 30 = 30. The result obtained is the difference between the two complementary angles.