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When a transversal cuts a pair of parallel lines, then:

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Pair of vertically opposite angles are equal

The pair of corresponding angles are equal

The pair of vertically opposite angles, corresponding angles, and alternate interior angles are equal.

Pairs of alternate interior angles are equal

answer is D.

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Detailed Solution

According to the Converse of the Alternate Interior Angles Theorem, if two parallel lines are cut by a transversal, the pair of alternate interior angles are equal.

When a transversal cuts two lines so that the angles of the corresponding pairs are equal, the lines must be parallel.

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