Question

4 in A ABC, BO and co are the angle
bisectors of angle B and angleC Also AB=Ac
angle BAC=80
find angle ABC AND ANGLE ACB
find angle BOC and ANGLE OCB​

Answer 1

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Let the ∠OBC = x and ∠OCB = y

∠BOC = 180−(x+y)

Exterior∠BOC = 360−(180−(x+y))=180+(x+y)

For the quadilateral ABOC, we have 

32+180+(x+y)+x+y=360

2(x+y)=148

(x+y)=74

∠BOC=180−74=106o