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Which of the following statements best proves that ∠XWY ≌ ∠ZYW?

A. If two parallel lines are cut by a transversal, then corresponding angles are congruent.

B. If two parallel lines are cut by a transversal, then complementary angles are congruent.

C. If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

D. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Answer :

The pair of angles created on the inner side of the parallel lines intersected by a transversal but on opposing sides of the transversal is known as an alternative interior angle. The correct option is C.

What are Alternate Interior angles?

When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.

The best statements BEST that proves ∠XWY ≌ ∠ZYW is that If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Hence, the correct option is C.

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Answer: C

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