Question

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.

Answer 1

i believe thr answer to be C.

Answer 2

C. Of the Corresponding Angles Postulate.

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..