Question

Two supplementary angles have measures that are in the ratio of 5 to 7. Find the measure of the smaller angle

Answer 1

Measure of the smaller angle is 75°

Step-by-step explanation:

• Step 1: Sum of supplementary angles is 180°. Given ratio of angles is 5:7.

Let angles be 5x and 7x.

⇒ 5x + 7x = 180

⇒ 12x = 180

⇒ x = 15

• Step 2: Calculate smaller angle which is 5x

⇒5x = 5 $\times$ 15 = 75°