In a quadrilateral \( \mathrm{ABCD} \), if bisectors of \( \angle \mathrm{ABC} \) and \( \angle ...

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In a quadrilateral \( \mathrm{ABCD} \), if bisectors of \( \angle \mathrm{ABC} \) and \( \angle \mathrm{ADC} \) meet on the diagonal \( \mathrm{AC} \), prove that bisectors of \( \angle \mathrm{BAD} \) and \( \angle \mathrm{BCD} \) will meet on the diagonal \( \mathrm{BD} \).
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