In the given figure, lines AB and CD intersect at a point O. if ∠AOC= 100°, find, ∠COB
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Step-by-step explanation:
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Given:∠BOD=40
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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
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−∠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
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⇒∠COE=180
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−70
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=110
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Reflex∠COE=360
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−110
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=250
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