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Comparing ΔABC and ΔBAD, we get
∠BAC = ∠ABD ---- (1)
BC = CD ---- (2)
Since ∠DAC = ∠CBD
=> ∠BAC+∠DAC = ∠ABD + ∠CBD [From (1)]
=> ∠BAD = ∠ABC --- (3)
From (1),(2) and (3), we get
ΔABC ≅ ΔBAD, by ASA congruency
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