Question

In the given figure, m ∠BCD = 70°, m ∠BPD = 110° . Observe the following figure and answer the questions *. ​

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