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c option is correct
Step-by-step explanation:
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
80+180+(x+y)+x+y=360
2(x+y) = 360 - 260
2(x+y)= 100
(x+y) = 50
∠BOC=180−50=130
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Answer c)
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