Question

In the given figure, ABCD is a quadrilateral in which AB || CD and AD || BC.Prove that angle ADC = angle ABC
lines and angle class 7​

Answer 1

Step-by-step explanation:

Given:-

AB||CD

AD||BC

prove that angle ADC=ABC

prove:-AB||CD(given)

AD||BC

Draw AC diagonal

∆ABC & ∆ADC

AD=BC(opposite side)

AB=CD(opposite side)

AC=AC(common side)

∆ABC congruence ∆ADS (S.S.S)

therefore, angle ABC=angle ADC

PROVED