Question

In triangle abc a b bisect of triangle A B C respectively if triangle ABC is equal to 32 degree triangle ABC b is equal to 58 find triangle ABC and in triangle angle BOC

Answer 1

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=106°