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CBSE Class 9 Answered

Lines AB and CD intersect at O. If angle AOC+ angle BOE= 70 degree and angle BOD = 40 degree , find angle BOE and reflex angle COE  
Asked by pareekvanita27 | 13 Sep, 2019, 08:33: PM
answered-by-expert Expert Answer
angle AOC + angle BOE = 70 given
angle BOD = angle AOC =40 (vertically opposite angle)
so
angle BOE = 70 - 40 = 30
angle AOC + angle COE + angle BOE = 180...(angles in straight line)
angle COE =180 - 70 =110
now
angle AOC  + angle BOE + angle COE =180 ...(angles in straight line)
angle COE = 110
reflex angle COE = 360 - 110 = 250
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