Question

line ab and cd intersect at o.if angle aoc+angle boe = 70 and bod =40 find angle boe and reflex angle coe​

Answer 1

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

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