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Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a...

Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem.
∠6 ≅ ∠12
Determine the pair of parallel lines and justify the conclusion. Select all that apply.
A. m||y by the Alternate Interior Angles Theorem
B. n||x by the Same-Side Interior Angles Theorem
C. x||y by the Corresponding Angles Theorem
D. n||m by the Alternate Exterior Angles Theorem
E. There is not enough information to prove whether or not any of the lines are parallel.

Answer

Answer: A. m||y by the Alternate Interior Angles Theorem

Explanation: Since ∠6 ≅ ∠12, and these angles are alternate interior angles, line m is parallel to line y by the Alternate Interior Angles Theorem.

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