Question

In adjacent figure AD || BC and AD = BC. Prove that AB ||CD.​

Answer 1

Answer:

To prove :- AB || CD

Given that :- AD = BC, <ABC = 80°

PROOF = In ∆ ABC and ACD

AD = BC ( Given )

AC = AC ( Common )

<ACB = <CAD ( Alternate interior angle )

So, ∆ABC ≈~ ∆ ACD

Hence AB || CD (By C.P.C.T)

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