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Use the figure to find m∠2.I know that each angle sums up to 180 but im not sure how to find the missing angle when only one degree is given

Use the figure to find m∠2.I know that each angle sums up to 180 but im not sure how-example-1

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The angles ∠1 and ∠2 are vertical angles, therefore, their measures are equal.

If we find the measure of ∠1, we find the measure of ∠2.

The sum of the inside angles of a triangle add up to 180º, this gives to us the following equation


47+57+m\angle1=180

Solving for the measure of ∠1, we have our answer


m\angle2=76

User Samy Arous
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