In the given figure, the bisectors of \( \angle A B C \) and \( \angle B C A \), intersect each ...

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In the given figure, the bisectors of \( \angle A B C \) and \( \angle B C A \), intersect each other at point \( O \). If \( \angle B O C=100^{\circ} \), then find \( \angle A \).
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