Question 88607

Given that the ratio of the measures of two complementary angles is 4:11

Let us take the angles to be 4x and 11x as the ratio is 4:11

They are complementary implies, 4x + 11x = 90

                           ==>  15x = 90

                           ==> x = 90/15

                            ==> x = 6

Thus the angles are 4*6 = 24 and 11*6 = 66

Answer : 24 degrees and 66 degrees

Good Luck!!!