Mathematics
In the given figure, ∠BAC = ∠CDB and ∠BCA = ∠CBD. Prove that AB = CD.
Triangles
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Answer
In △DCB and △ABC,
⇒ ∠DBC = ∠ACB [Given]
⇒ ∠BDC = ∠BAC [Given]
⇒ BC = BC [Common side]
∴ △ABC ≅ △DCB (By A.A.S. axiom)
⇒ AB = DC [Corresponding parts of congruent triangles are equal]
Hence, proved that AB = CD.
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