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In the figure If the bisectors …

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In the figure If the bisectors of angles ∠B and ∠C of a triangle ABC meet at a point O, then prove that ∠BOC = 90°+ 1 2 ∠A.

    • Posted by Devansh Dewani 4 years, 8 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Bro . 4 years, 8 months ago

    => angle A + angle B + angle C = 180°. => 1/2 ( angle A + angle B + angle C ) = 90°. => 1/2 angle B + 1/2 angle C = 90°- 1/2 angle A. => angle BOC + 1/2(angle B + angle C)= 180°. => angle BOC + 90° -1/2 angle A =180° => angle BOC = 180°- 90° + 1/2 angle A => angle BOC = 90° +1/2 angle A

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