If the bisectors of angles \( \angle \mathrm{B} \) and \( \angle \mathrm{C} \) of a triangle \( ...
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If the bisectors of angles \( \angle \mathrm{B} \) and \( \angle \mathrm{C} \) of a triangle \( A B C \) meet at a point \( O \), then prove that \( \angle \mathrm{BOC}=90^{\circ}+\frac{1}{2} \angle \mathrm{A} \).
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