Question

in a quadrilateral ABCD, AB is equal to CD and angle ABC equal to angle BCD .Prove that AD and BC are parallel​

Answer 1

Step-by-step explanation:

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