Question

in a quadrilateral ABCD, AB = CD, AND angle ABC = angel BCD. prove that AD and BC are parallel​

Answer 1

Answer:

First we will draw a diagonal between angle B and angle D

In triangle BDC and triangle ABD

AB = CD

BD = BD (COMMON)

BDC = ABD

TRIANGLE BDC IS CONGRUENT TO TRIANGLE ABD

So by CPCT,

BD = AB

Hence, BD II AB.