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Question

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


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 angle)

Given, AOC + BOE = 70

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

Again, COE + BOE + BOD = 180 (linear pair of angle)

We know that, COE = 110 and BOD = 40

So, BOE = 180COE – BOD = 18011040 = 30
(2 BOE) = 60


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