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How do I solve for angle one not sure if my answer is correct

How do I solve for angle one not sure if my answer is correct-example-1

1 Answer

7 votes

78º

1) Considering that in any triangle, the sum of the interior angles must yield 180º

2) And the measurement of ∠1 is unknown, so we can write:

44º+58º + ∠1 = 180º

102º+ ∠1 =180º

∠1 = 180º -102º

∠1 = 78º

3) So the missing angle is 78º

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