In the given figure, A B C D is a quadrilateral in which A B=A D and B C=D C. Prove that (i) A C ...

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In the given figure, A B C D is a quadrilateral in which A B=A D and B C=D C. Prove that
(i) A C bisects ∠ A and ∠ C,
(ii) B E=D E,
(iii) ∠ A B C=∠ A D C.

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