According to the corresponding angle converse theorem:

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If two lines and a transversal form congruent corresponding angles, the lines are parallel.

If two lines and a transversal form congruent alternate interior angles, the lines are parallel.

If Transversal cuts two parallel lines, the corresponding angles are congruent

If two lines intersect, the vertically opposite angles are equal.

answer is A.

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Detailed Solution

solution

According to the corresponding angle postulate, corresponding angles are congruent if the transversal intersects two parallel lines. In other words, when a transversal intersects two parallel lines, the angles formed are always equal.

According to the corresponding angle converse theorem, if two lines and a transversal form corresponding angles that are congruent, the lines are parallel.

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