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ABCD is a quadrilateral in which and/D ...

ABCD is a quadrilateral in which and`/_D A B\ =/_C B A`(see Fig. 7.17). Prove that
(i) `DeltaA B D~=DeltaB A C`
(ii) `B D\ =\ A C`
(iii) `/_A B D\ =/_B A C`

Text Solution

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(i) In `△ABD` and `△BAC`,
`AD = BC` (Given)
`∠DAB = ∠CBA `(Given)
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