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°
0gand 81。
20° and 160°
18° and 162°
The ratio of the measures of two complementary angles is 1:9.
Let the smaller angle be x degrees.
The larger angle will be 9x degrees.
Since the sum of the measures of two complementary angles is 90 degrees, we can set up the equation:
x + 9x = 90
Combining like terms, we have:
10x = 90
Dividing both sides by 10, we find that:
x = 9
Therefore, the smaller angle measures 9 degrees, and the larger angle measures 81 degrees.
So, the correct answer is 10° and 80°.