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. |