Math, asked by shahkhan367, 1 month ago

In the given figure, lines AB and CD intersect at a point O. if ∠AOC= 100°, find, ∠COB​

Answers

Answered by veerajagarwal
1

Answer:

Step-by-step explanation:

Solution

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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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