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Segment AB is parallel to segment CD. Angle 1 is congruent to angle 2 because

A. they are supplements of the same angle.

B. vertical angles are congruent.

C. of the Corresponding Angles Postulate.

D. the triangles are congruent to each other.

Segment AB is parallel to segment CD Angle 1 is congruent to angle 2 because A they are supplements of the same angle B vertical angles are congruent C of the C class=

Respuesta :

i believe thr answer to be C.

Answer:

C. Of the Corresponding Angles Postulate.

Step-by-step explanation:

We have been given a diagram, in which line segment AB is parallel to segment CD. We are asked to choose the reason that states that angle 1 is congruent to angle 2.

Let us see line BC as a transversal.

Since alternate interior angles are equal, therefore, measure of angle DCB is equal to angle ABC.

Let us see line BC as a transversal.

Since alternate interior angles are equal, therefore, measure of angle BAD is equal to angle CDA.

Since angle 1 corresponds to angle 2, therefore, angle 1 is congruent to angle 2 because of the Corresponding Angles Postulate..

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