Question

Lines AB and CD intersect at O . If ∠AOC + ∠BOE = 60˚ and ∠BOD = 35˚ , find ∠BOE and reflex ∠COE.​

Answer 1

angle BOE = 30°

reflex angle COE = 250°

Step-by-step explanation:

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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Answer 2

Step-by-step explanation:

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