Question

in the given figure, AB and CD are two lines intersecting at o. Calculate the
following:i [AOD,[AOC,[BOD and [BOC if [AOD :[AOC =5:4

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Answer 1

Step-by-step explanation:

In fig. given Line AB and CD intersect at O. If ∠AOC + ∠BOE =70˚ and ∠BOD =40˚, Find ∠COE . 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∘