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Find the measure of each labeled angle.

Find the measure of each labeled angle.-example-1
User Meriem
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1 Answer

7 votes

Answer:

<A=100°

<B=80°

<C=65°

Explanation:

Angles on a straight line add up to 180.

<A+<B=180°

This means that:


3x - 20 + 2x = 180

We group similar terms to get:


3x + 2x = 180 + 20

Combine the similar terms to get:


5x = 200

Divide both sides by 5 to get:


x = 40


m\angle \: A = 3(40) - 20 = 120 - 20 = 100 \degree


m \angle \: B = 2(40) = 80 \degree


m\angle C=2(40) - 15 = 80 - 15 = 65 \degree

User Christian Stewart
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