Question

Is ABCD a parallelogram?

Answer 1

Answer:

Yes

Step-by-step explanation:

We know that because AB and CD are parallel,

• angles A and D are supplementary
• angles B and C are supplementary

As supplements of congruent angles are congruent, this means angle B is congruent to angle C.

Thus, ABCD is a parallelogram because it is a quadrilateral with 2 pairs of opposite congruent angles.