Q. ABC is a triangle in which the internal bisectors of angles B and C meet in O then the magnitude of it is.
(b) 36° (c) 126° (d) 120° (a) 144
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(d) 120°
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∠A=72∘
By angle sum property
∠A+∠B+∠C=180
∠B+∠C=180−72=108
∠OBC+∠OCB=54
The Angular bisectors Meet at O
So By Angle sum property ,
∠OBC+∠OCB+∠BOC=180
54+∠BOC=180−54
∠BOC=126
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