Question

8. In the adjoining figure, ZAOB = 50° and ZBOC = <COD.
Find the measures of
a. ZBOC
50°
b. ZCOE
E​

Answer 1

Answer:

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

∘

−70

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=110

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