Question
In the below quadrilateral ABCD, if AD = BC and ∠DAB = ∠CBA, then what is the relation between ∠ABD and ∠BAC ?
Answer: Option A
:
A
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A
In ΔABD and ΔBAC,
AD = BCÂ Â (Given)
∠BAD = ∠CBA (Given)
AB = BAÂ (Side common to both triangles)
Hence ΔABD≅ΔBAC
(by SAS congruence condition).Â
Thus, ∠ABD = ∠BAC
(congruent parts of congruent triangles).Â
Â
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