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
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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
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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∘
Step-by-step explanation:
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