In a \( \triangle A B C, \angle A B C=100^{\circ}, \angle B A C=35^{\circ} \) and \( B D \perp A...

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In a \( \triangle A B C, \angle A B C=100^{\circ}, \angle B A C=35^{\circ} \) and \( B D \perp A C \) meets side \( A C \) in \( D \). If \( B D=2 \mathrm{~cm} \), find \( \angle C \) and length \( D C \).
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