Difference in the measure of two complementary angles is 12 degree find the measure of the angles

The difference in the measures of two complementary angles is 12. Find the measures of the angles?

Let the two angles be x and yGiven, x-y=12We know that the sum of complementary angles is 90Therefore, x+y=90so, x=90-ySubstitute x in x-y=12Therefore, 90-y-y = 12 90-2y = 12 -2y = 12 - 90 -2y = -78 y = -78/-2 y = 39Substitute y in x - y = 12 x - 39 = 12 x = 12+39 x = 51Therefore, the two angles are 51 degree and 39 degree.