Question

In the figure given below, AB = CD and AD = CB. Prove that ∠BCD = ∠DAB.​

Answer 1

GIVEN :

➡AB = CD and AD = CB

TO PROVE :

➡ ∠BCD = ∠DAB

PROOF :

⤵

In ΔABD & ΔDCB,

AB = CD (given)

AD = CB (given)

DB = DB (common)

So, ΔABD ≅ ΔDCB ( By SSS congruency rule)

BY CPCT,

∠BCD = ∠DAB

HENCE, PROVED.

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