Question

lines AB and CD intersect at O. If

∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find

∠ BOE and reflex ∠ COE.​

Answer 1

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Angle AOC + Angle BOE = 70

40° + Angle BOE = 70°

Angle BOE = 30°

Angle COD = 180° (Angles made on line CD)

reflex angle COE

= Angle COD + Angle DOB + Angle BOE

= 180° + 40°+ 30°

=250°

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Hope it will help you......✌️☺️

Answer 2

Solution:

We have,

(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°

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Hope it will be helpful :)