Question

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°

Answer 1

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step 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°

Answer 2

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°