Question

When two lines intersected at O, ∟AOC and ∟BOD are vertically opposite to each other if <AOC =70° and <, BOD = (2x+10) find the value of x

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Answer 1

Answer:

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Answer 2

Answer:

Given:∠BOD=40∘

Since AB and CD intersects, ∠AOC=∠BOD(vertically opposite angles)

∠AOC=40∘

Also,∠AOC+∠BOE=70∘

⇒∠BOE=70∘−∠AOC=70∘−40∘=30∘

We need to find reflex∠COE

Reflex∠COE=360∘−∠COE

Now, ∠AOC+∠COE+∠BOE=180∘

⇒∠COE+(∠AOC+∠BOE)=180∘

⇒∠COE+(40∘+30∘)=180∘

⇒∠COE=180∘−70∘=110∘

Reflex∠COE=360∘−110∘=250∘