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 + 84) = 180°

3x + 84 = 180°

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

3x = 96

x = 32

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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