in the given future ab is a straight line and angle boc =70 fibd the measure og angle aoc
answer is 110°
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Answer:
Given:∠BOD=40
∘
Since AB and CD intersects, ∠AOC=∠BOD(vertically opposite angles)
∠AOC=40
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Also,∠AOC+∠BOE=70
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⇒∠BOE=70
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−∠AOC=70
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−40
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=30
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We need to find reflex∠COE
Reflex∠COE=360
∘
−∠COE
Now, ∠AOC+∠COE+∠BOE=180
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⇒∠COE+(∠AOC+∠BOE)=180
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⇒∠COE+(40
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+30
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)=180
∘
⇒∠COE=180
∘
−70
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=110
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Reflex∠COE=360
∘
−110
∘
=250
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