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What are the measures of ∠1 and ∠2? PLEASE ANSWER

m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°

What are the measures of ∠1 and ∠2? PLEASE ANSWER m∠1 = 58.2°, m∠2 = 75.5° m∠1 = 67.4°, m-example-1
User Thanasis M
by
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2 Answers

3 votes

Answer:

C!

Explanation:

m∠1 = 75.5°, m∠2 = 67.4°

User Bokor
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4 votes

9514 1404 393

Answer:

(b) m∠1 = 67.4°, m∠2 = 104.5°

Explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

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Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

104.5° = angle 1 + 37.1°

angle 1 = 104.5° -37.1° = 67.4°

User Curtisdf
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