Difficult Geometry DS

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GMATpaduan: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Sun May 27, 2007 11:06 am

by GMATpaduan » Sat Aug 04, 2007 1:09 pm

The answer is C - but can someone please explain why? Does the answer have something to do with similar triangles?

This is from GMATPrep (TM) Test.

Thanks.

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Source: Beat The GMAT — Data Sufficiency | Sat Aug 04, 2007 1:09 pm

karthick451: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Mon Jul 02, 2007 6:22 am

by karthick451 » Thu Aug 09, 2007 7:21 am

I agree with the answer. it is C.

Here is my take

x + angle(RSQ) + angle(UST) = 180

x = 180 - (angle(RSQ) + angle(UST))

angle(RSQ) = (180 - angle(QRS)) /2
angle(UST) = (180 - angle(STU))/2

substituting

x = 180 - (90 +90 - (angle(QRS) + angle(STU))/2))
= 180 - (90 + 90 - 45)
= 45

hence.....

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