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

Two angles are said to be complementary if their sum is equal to 90º.

Answer: 15º and 75º are the two complementary angles that have their measures in the ratio of 1 to 5.

Let's solve this question step by step.

Explanation: 

Given: The ratio of two complementary angles is 1:5

Let the common factor of the given two angles be x. Then, the angles are x and 5x.

Applying the condition for complementary angles, we get:

x + 5x = 90º

⇒ 6x = 90º

⇒ x = 90º/6

⇒ x = 15º

The other given angle is 5x.

Thus, 5x = 5 × 15º = 75º   [Since, x = 15º]

Hence, the two required angles are 15º and 75º

We can calculate complementary angles by using a complementary angles calculator.

Thus, 15º and 75º are the two complementary angles that have their measures in the ratio of 1 to 5.