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ABCD is a quadrilateral
In ΔABD & ΔCDB
AB = BC (given)
DB = DB (common)
∠ABD = ∠CDB (given)
∴ΔABD & ΔCDB are congruent to each other
By CPCT, we have -
AD = CB
& AB = CD (given)
Hence, the quadrilateral ABCD is a pallelogram.
Hope this helped
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