Question

In the given figure, two straight lines AB and CD are intersecting each other at the point O. If angle BOD = 62°, then find the value of ∠x – ∠y. pls answer fast

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  

∘Step-by-step explanation: