Practice
1. In Fig. 6.28, lines AB and CD intersect at O. If ZAOC
+ LBOE = 70° and ZBOD = 40°, find ZBOE and
reflex ZCOE.
A
D
Fig. 6.28
Answers
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Step-by-step explanation:
Given:∠BOD=40
∘
Since AB and CD intersects, ∠AOC=∠BOD(vertically opposite angles)
∠AOC=40
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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
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⇒∠COE+(40
∘
+30
∘
)=180
∘
⇒∠COE=180
∘
−70
∘
=110
∘
Reflex∠COE=360
∘
−110
∘
=250
∘
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