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