From the given figure, choose the correct option.

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AB is parallel to EF

AB is perpendicular to EF

CD is perpendicular to EF

None of the above

answer is A.

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Detailed Solution

Concept- To solve this question, we will need to know the concept of transversal to parallel lines which states that,
If two parallel lines are intersected by a transversal, then
1) Every pair of alternate interior angles is equal
2) Every pair of corresponding angles is equal
3) Every pair of interior angles on the same side of the traversal is supplementary, i.e., 180 degrees.
Given that,

Now,

i.e.,

But they are alternate interior angles on lines AB and CD and traversal BC, so,
AB is parallel to CD..(i)
Again,

But they are co-interior angles on lines CD and EF and traversal CE, SO,
EF is parallel to

(ii)
Then, from equations (i) and (ii) , we get,
AB is parallel to EF.
Hence, the correct answer is option 1) AB is parallel to EF.

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