Question

11. In the given figure, ABCD is a quadrilateral in which AB || DC and
AD || BC.
Prove that ADC = ABC.
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Answer 1

Answer:

Given :

AB||CD

AD||BC

prove that angle ADC=ABC

prove:- AB||CD(given)

AD||BC(given)

Draw AC diagonal

∆ABC and ∆ADC

AD=BC (opposite side)

AB=CD (opposite side)

AC=AC( common side)

∆ABC congruence ∆ADC ( S.S.S)

therefore. angle ABC= angle ADC

PROVED.