Question

the measures of two complementary angles are in the ratio 1:9 what are the degree measures of the two angles

Answer 1

Let the measures of the two angles be x and 9x, where x represents the smaller angle.

Since the angles are complementary, we know that their sum is 90 degrees:

x + 9x = 90
10x = 90
x = 9

Therefore, the smaller angle is 9 degrees and the larger angle is 81 degrees.