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I think you forgot to give the options along with the question. I am answering the question based on my knowledge and research. To prove that two lines cut by a transversal are parallel, one must show that alternate interior angles are congruent, alternate exterior angles are congruent and corresponding angles are congruent. I hope the answer helped you.

Answer with explanation:

It is given that two lines are cut by a transversal.To show that ,these two lines are parallel, we must prove

1. Corresponding Angles are equal.

2. Alternate Interior Angles are equal.

3.Sum of angles on the same side of transversal are equal.

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