Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle.

Solution:

Complementary angles are two angles whose measures add up to 90°

Given, the ratio of complementary angles is 1:5

Let one angle be x

Another angle be 5x

Since the angles are complementary

So, x + 5x = 90°

6x = 90°

x = 90°/6

x = 15°

Another angle = 5(15) = 75°

Therefore, the measure of each angle is 15° and 75°.

Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle.

Summary:

Two complementary angles have measures in the ratio of 1 to 5. The measure of each angle is 15° and 75°.