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Question

ABCD is a quadrilateral in which AD=BC and DAB=CBA prove that
BD=AC
569771_68a8690cc31e4ba6a436fc9f50a460ff.png

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Solution

In given figure ABCD is a quadrilateral.

In ABC and BAD

BC=AD [Given]

CBA=DAB [Given]

AB=BA [Common side]

ABCBAD [By SAS criteria]

BD=AC [CPCT]

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