Question

EXERCISE 6.1 C 1. In Fig. 6.13, lines AB and CD intersect at O. If AOC + Z BOE= 70° and Z BOD = 40°, find BOE and reflex 2 COE. ܛܲܟ А 0 Fig. 6.13​​

Answer 1

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∘

Answer 2

Step-by-step explanation:

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