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Question

In the given figure, CD and FE are parallel lines. Find the value of x.


A
12
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B
13
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C
14
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D
15
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Solution

The correct option is B 13


From point O, draw a line OP parallel to CD.
Thus, OP || CD || EF.
∠COP = ∠BCD = 4x [Corresponding angles]
∠EOP = ∠FEA = 6x [Corresponding angles]
Now, ∠COP + ∠EOP = ∠COE
6x+4x=130o
10x=130o
x=13o

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