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Bisectors of angles B and C meet at O: angle BOC = 90 + A/2

This type of question, asked 2 times: 19 Jul 2023 S2, 9 Sep 2024 S3. All 2 questions below, oldest first.

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  1. Question 1

    19 Jul 2023 S2

    63
    In a △ABC\triangle ABC, the internal bisectors of ∠B\angle B and ∠C\angle C meet at O. if ∠BAC=72∘\angle BAC = 72^\circ, then the value of ∠BOC\angle BOC is:

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  2. Question 2

    9 Sep 2024 S3

    63
    In a ΔPQR\Delta PQR, the bisectors of ∠Q\angle Q and ∠R\angle R meet at point O, inside the triangle. If ∠QOR=107∘\angle QOR = 107^\circ, then the measure of ∠P\angle P is:

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