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If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can

    • Posted by Mishika Pandey 4 years, 1 month ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Ananya K 4 years, 1 month ago

    Consider a △ABC,such that ∠BAC=130 ∘ and bisectors of ∠B and ∠C meet at O. To find: ∠BOC Now, in △ABC, ∠BAC+∠ABC+∠ACB=180 130+∠ABC+∠ACB=180 (Angle sum property) ∠ABC+∠ACB=50 2 1 ​ (∠ABC+∠ACB)=25 ∠OBC+∠OCB=25 (OB and OC bisect ∠ABC and ∠ACB) Now, in △OBC, ∠OBC+∠OCB+∠BOC=180 25+∠BOC=180 ∠BOC=155 ∘ .

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