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Question

ABCD is a quadrilateral in which AD=BC and DAB=CBA. Prove that ABD=BAC.
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Solution



ABCD is a quadrilateral, where AD=BC and DAB=CBA
In ABD and BAC,
AD=BC [ Given ]
DAB=CBA [ Given ]
AB=BA [ Common side ]
ABDBAC [ SAS Congruence rule ]
By CPCT,
ABD=BAC

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