Mathematics
In the adjoining figure, AD = BC and BD = AC. Prove that:
∠ADB = ∠BCA and ∠DAB = ∠CBA.
Triangles
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Answer
In △ABD and △BAC we have,
AD = BC (Given)
BD = AC (Given)
AB = AB (Common sides)
∴ △ABD ≅ △BAC. (By SSS axiom)
We know that corresponding angles of congruent triangles are equal.
∴ ∠ADB = ∠BCA and ∠DAB = ∠CBA.
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