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krok68 [10]
3 years ago
6

Find the angle measures

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

m∠1 = 64°

m∠2 = 116°

Step-by-step explanation:

Since the 2 angles are on a line, that means that when added, they equal 180°

2x+(x+84)=180

Combine like terms:

2x + (x + <u>84</u>) = 180°

3x + <u>84</u> = 180°

Now, subtract to have 3x one side; then divide:

3x = 96

<em>x = 32</em>

Now, we can find the angle measures.

m∠1 = 2 (32)            m∠2 = (32) + 84

m∠1 = 64°               m∠2 = 116°

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