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Question

In the figure below, lines AB and CD intersect at O. If AOC + BOE = 70 and BOD = 40, find (2BOE).


A

50

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B

30

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C

60

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D

90

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Solution

The correct option is C

60


AOC + BOE + COE = 180 (Linear pair of angles).Given,AOC + BOE = 70.

So, COE = 180 – (AOC + COE) 18070= 110.

Again, COE + BOE + BOD = 180 (Linear pair of angles).

We know that, COE = 110 and BOD = 40

So, BOE = 180COE - BOD 180110 - 40 = 30.
Hence, 2 BOE = 60.


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