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Ina is given the theorem and diagram below. She constructs the outline of a proof below to show that lines w and x are parallel.
Consecutive Interior Angles Theorem: If two lines are parallel, the interior angles on the same side of a transversal that crosses the lines are supplementary.

Given: lines w and x intersected by line t; angle 1 and angle 5 are congruent.
Prove: wIIx

Which pair of reasons should be listed in D and E to complete Ina's proof?

A. D: Linear pair postulate
E: Consecutive Interior Angles Theorem

B. D: Congruent angles are supplementary to the same angle.
E: Converse of the Consecutive Interior Angles Theorem

C. D: Congruent angles are supplementary to the same angle.
E: Consecutive Interior Angles Theorem

D. D: Linear pair postulate
E: Converse of the Consecutive Interior Angles Theorem

Sagot :

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