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padilas [110]
4 years ago
11

Find the measure of each labeled angle.

Mathematics
1 answer:
aleksklad [387]4 years ago
8 0

Answer:

<A=100°

<B=80°

<C=65°

Step-by-step 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

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