MS AND ANGLES Solution : Answer (B) EXERCISE 6.1 Write the correct answer in each of the following I in Fig. 61, if AB II CD EF, PORS, CROD 25° and ZCQP60, then ZORS is equal lo (AJ 85 (0) 1450 ar 55 (B) 135° (D) 110
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Answer:
∠BOE = 30° and reflex ∠ COE = 250°
Explanation:
Data given :
Lines AB and CD intersect at O.
∠ AOC + ∠BOE = 70° …………….(1)
and ∠BOD = 40°…………………..(2)
Since ∠AOC = ∠BOD (vertically opposite angles)
Therefore, ∠AOC = 40° [FROM 2]
and 40° + ∠BOE = 70° [from 1]
∠BOE = 70° – 40° = 30°
Also, ∠AOC + ∠BOE + ∠COE = 180° (⸫ AOB is a straight line)
⇒70° + ∠COE = 180° [from (1)]
⇒ ∠COE = 180° – 70° = 110°
Now, reflex ∠COE = 360° – 110° = 250°
Hence, ∠BOE = 30° and reflex ∠ COE = 250°
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good question
ur a good question
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