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

(1 point)
10° and 80°
9° and 81°
20° and 160°
18° and 162°

1 answer

Let the measures of the two complementary angles be x and 9x.

Since the angles are complementary, we have the equation: x + 9x = 90
This simplifies to 10x = 90, so x = 9.

Therefore, the two angles are 9° and 81°. The answer is B) 9° and 81°.