Question
Answer: Option A
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In ΔABC and ΔBAD,
AD = BC [Given]Â
∠DAB=∠CBA  [Given]
AB=BA Â [Common]
∴ΔABC≅ΔBAD (By SAS congruence rule)
⇒DB=AC  [Corresponding parts of corresponding triangles] ...... (1)
In ΔADC and ΔBCD
AD=BC Â Â [Given]
DB=AC Â Â [From (1)]
DC=CD(Common)
ΔADC≅ΔBCD  [By SSS congruence rule]
⇒∠ACD=∠BDC  [Corresponding parts of corresponding triangles]
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