Question

In the triangle ABC the bisectors of the angles B and C meet at O . Given angle ABC - 80 degree and angle BAC - 50 degree . Find angle BOC​

Answer 1

Answer:

In Δ ABC , the angle bisectors of B and C meet at O. If A = 70^o , find BOC

Answer 2

Answer:

In △BOC,

∠BOC+∠OBC+∠OCB=180 (OB and OC bisect ∠B and ∠C respectively)

∠BOC+

2

1

∠B+

2

1

∠C=180

∠BOC=180−

2

1

(∠B+∠C)

∠BOC=180−

2

1

(180−∠A)

∠BOC=180−

2

1

(180−70)

∠BOC=180−90+35

∠BOC=125

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