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Question

In the figure, lines AB and CD intersect at O.If AOC+BOE=70 and BOD=40, find BOE and reflex COE . [4 MARKS]


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Solution

Concept: 1 Mark
Application: 2 Mark
Answer: 0.5 Mark each

Lines AB and CD intersect at O.

AOC=BOD [Vertically opposite angles]

But BOD=40 ..(i) [given]

AOC=40 ..(ii)

Now,AOC+BOE=70 [Given]

40+BOE=70 [Using (ii)]

BOE=7040

BOE=30

ReflexCOE=COD+BOD+BOE)

ReflexCOE=180+40+30

ReflexCOE=250


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