Question

in the given figure ABCD is quadrilateral in whichAB is parallel to DC and AD is parallel to BC. prove that angle ADC is equal to angle ABC

Answer 1

Given=AB parallel to DC and AD parallel to BC
To Prove=Angle ADC=Angle ABC
Proof=
AB parallel to DC andAD parallel toBC so ABCD is a parallelogram and opposite angles of parallelogram are equal so angle ADC =angle ABC

Answer 2

Given- AB parallel DC and AD parallel BC.

To Prove- AngleADC=AngleABC

PROOF-AB parallel DC and AD parallel BC. As we all know that in quadrilateral opposite Angles are equal. So AngleADC= AngleABC