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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

Respuesta :

Advent5647

Answer:

First Angle = 100°

Second Angle = 60°

Third Angle = 20°

Step-by-step 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 :)