In \( \triangle A B C \), side \( A B \) is produced to \( D \) such that \( B D=B C \). If \( \...

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In \( \triangle A B C \), side \( A B \) is produced to \( D \) such that \( B D=B C \). If \( \angle A=70^{\circ} \) and \( \angle B=60^{\circ} \), prove that (i) \( A DC D \) (ii) \( A DA C \).
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