Question

Prove it perfectly by explaining it.

Answer 1

CE = DE
when cd bisects so angle C=D
let us suppose that..
ab bisects cd so angle A=B


This proves that..
ACE~= BDE
CE= DE
C=D
A=B...



HOPE IT HELPS YOU DEAR...

Answer 2

angleA=angleB[alternate interior angles]------1

angleC=angleD[alternate interior angles]-------2

on adding 1 and 2

angleA=angleB

+angleC=angleD

angleA+angkeC=angleB+angleD=AC=BC

angleA=angleC

angleB=angleD

AC=BD

triangleAECis congurent to triangle BDE by ASA congurency rule