abcd is a quadrilateral in which ad=bc and anhle dAb=angle cba.Prove that angle ABD is=angle BAC
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=> ABCD is a quadrilateral, where AD = BC and angles DAB = angles CBA
=> In angle ABD = angles BAC,
=> AD = BC [ Given ]
=> Angles DAB = Angles CBA [ Given]
=> AB = BA [ Common sides ]
:- Angles ABD = Angles BAC [ SAS Congruence Rules ]
:- Angles ABD = Angles BAC [ CPCT ]
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ABCD is a quadrilateral, where AD=BC and ∠DAB=∠CBA
In △ABD and △BAC,
⇒ AD=BC [ Given ]
⇒ ∠DAB=∠CBA [ Given ]
⇒ AB=BA [ Common side ]
∴ △ABD≅△BAC [ SAS Congruence rule ]
∴ ∠ABD=∠BAC [ CPCT ]
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