Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Proofs with Parallel Lines
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Exercise 14 Page 514

Use the Alternate Exterior Angles Converse.

Yes
Theorem: Alternate Exterior Angles Converse

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The congruent angles are outside of m and n and on opposite sides of the transversal.

According to the Alternate Exterior Angles Converse, if the alternate exterior angles are congruent, then the lines are parallel. Since the two given angles are congruent, it must be true that m ∥ n.