GMAT Prep Geometry

[ramesh.krish.85]

If the image doesnt display above please click the following link
http://www.postimage.org/image.php?v=TsU9aaA

Please help me understand how to approach these kind of geometry problems. I have read the Manhattan Geometry stratergy guide and remeber the concepts but kinda getting confused which of the concepts to apply when.

[zchampz]

What is the OA (Official Answer). As per the forum guidelines it would be great if you post official answer along with your question.

I guess the OA is A.

[ramesh.krish.85]

OA is A. Please help me understand how to approach this problem.

[agha79]

Can someone from MGMAT please help?

[sanidhya510]

the angle of x and y determine the lengths of line segments PQ and RS. thus if the angle x and angle y are equal the length of the line segments would be equal as PS and QR are parallel lines. Thus the only way to get a solution is by knowing if angle x and angle y are different , thus making sure that the lengths of line segments PQ and SR are different. Answer should be A.

[ramesh.krish.85]

@sandhya: your explanations was very good. thanks. But I have a question

the angle of x and y determine the lengths of line segments PQ and RS. thus if the angle x and angle y are equal the length of the line segments would be equal as PS and QR are parallel lines.

With the angle of x and y we cannot actually determine the length of the line segments PQ and RS. But since both line segments start from parllel points (P and S) and end at parllel points (Q and R) we can determine whether the line segments PQ and RS are equal based on the angles x and y.

Is my understanding right ? or is there any other generic way of applying this logic in other problems where one set of points(P and S) and another set of points (Q and R) are not parllel.

[RonPurewal]

this problem has been covered previously on the forum:

in-the-figure-above-if-x-and-y-are-each-less-than-90-and-ps-t3582.html