Question

In a quadrilateral ABCD, AB=CD and angle B=angle C. Prove that AD parallel to BC.

Answer 1

First we will draw a diagonal between angle B and angle D
In triangle BDC and triangle ABD
AB=CD
BD=BD (COMMAN)
BDC =ABD
TRIANGLE BDC IS CONGRUENT TO TRIANGLE ABD
BY CPCT
AD IS PARALLEL TO BC