In Figure, lines AB and CD intersect at O. If AOC+BOE=70° and BOD=40°, find BOE and reflex COE.
Solution and Explanation
Given: AOC + BOE = 70° and BOD = 40°
To find: BOE, and Reflex COE
From Figure,
(AOC +BOE +COE) and (COE +BOD +BOE) forms a straight line.
So, AOC+BOE +COE = COE +BOD+BOE = 180°
Now, by putting the values of AOC + BOE = 70° and BOD = 40° we get
COE = 110° and BOE = 30°
So, reflex COE = 360o – 110o = 250o
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