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Question

Two lines AB and EF are parallel to a third line CD. Then AB and EF are 


A
Parallel 
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B
Perpendicular
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C
Intersect at 450
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Solution

The correct option is A Parallel 

Shown below are two lines, AB and EF, which are parallel to a common line CD. Let K be the transversal passing through the three lines.

We know that if a transversal intersects two parallel lines then the corresponding angles are equal.

 as AB || CD, 1 = 2  (corresponding angles)

 as CD || EF, 2 = 3  (corresponding angles)

Hence, 1 = 3

Therefore, AB is parallel to EF.


Mathematics

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