In the figure, lines AB and CD intersect at O. If angle AOC + angle BOE =70 degree and angle BOD =40 degree. Find angle BOE.
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We have,
∠BOD=40
⇒∠AOC=40 ∘
[∵∠AOC=∠BOD (vertically opposite angles)]
Now, ∠AOC+∠BOE=70
⇒40 +∠BOE=70
⇒∠BOE=30
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