Question The measures of two complementary angles are in the ratio 1:9. What are the degree measures of the two angles?

Question

10° and 80°
9° and 81
20° and 160°
18° and 162°

Answer 1

Let x be the measure of the first angle and 9x be the measure of the second angle. Since the angles are complementary, their sum is 90 degrees.

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

So, the measure of the first angle is 9 degrees and the measure of the second angle is 81 degrees.

Therefore, the correct answer is 9° and 81°.