Question

What is the measure of the largest angle of a triangle if the ratio of the measures of the three angles is 5:3:1

Answer 1

First Angle = 100°

Second Angle = 60°

Third Angle = 20°

Explanation:

Step 1:

5 : 3 : 1 Ratio

Step 2:

5x + 3x + x = 180° Sum of a Δ

Step 3:

9x = 180° Combine Like Terms

Step 4:

x = 180° ÷ 9 Divide

Step 5:

x = 20°

Answer:

First Angle = 5 × 20° = 100°

Second Angle = 3 × 20° = 60°

Third Angle = 1 × 20° = 20°

Hope This Helps :)