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Think of lines QR and PR as transversals through lines PQ and SR. Two lines cut by a transversal will be parallel if all the acute angles are same and all the obtuse angles are same. Lines PQ and SR will be parallel if x=z and w=q.

Statement 1: as w=q so Lines PQ and SR are parallel. Sufficient
Statement 2: Insufficient to prove that x=z or w=q.

Answer: A
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Bunuel

Is the line PQ parallel to the line SR?

(1) w = q
(2) y = z

Attachment:
2017-10-22_1739.png

statement 1- w=q, then it will solve the question, using externally angle theorem, PQ is equal to SR.
statement 2- y=z, then it does not let us know about angle of line PQ and SR.

So the answer to the equation is A.
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