Answer:Since BD is the angle bisector of ∠ ABC,
∠ ABD = ∠ CBD --- (1)
Now, in triangles Δ ABD and Δ CBD,
BD = BD (common side)
∠ ABD = ∠ CBD from (1)
AB = BC (Given)
Hence, Δ ABD ≅ Δ CBD (SAS Rule).
Explanation:
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