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# 90 degree

Author Message
Manager
Joined: 11 Sep 2008
Posts: 56

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18 Feb 2009, 22:40
is x=90 degrees? i ran into this prob and got STUMPED so i guessed.

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Senior Manager
Joined: 08 Jan 2009
Posts: 310

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18 Feb 2009, 23:33
1
from figure :

RPT is a Right angled triangle. RPT = 90 PRS = Y and RTP = 90-Y

PSQ+QSU+TSU = 180. ---- 1

from Stmt 1 :

rq = rs so RQS is an isosceles triangle RQS = RSQ = 90-Y/2.--2 Not sufficient

from stmt 2 :

tu = ts so TSU = TUS = 45 + Y/2---2. Not sufficient.

Combining

90 - Y/2 + x + 45 +Y/2 = 180

therefore x = 45

So ans is C
Director
Joined: 04 Jan 2008
Posts: 826

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19 Feb 2009, 10:24
thanks
excellent explanation
tkarthi4u wrote:
from figure :

RPT is a Right angled triangle. RPT = 90 PRS = Y and RTP = 90-Y

PSQ+QSU+TSU = 180. ---- 1

from Stmt 1 :

rq = rs so RQS is an isosceles triangle RQS = RSQ = 90-Y/2.--2 Not sufficient

from stmt 2 :

tu = ts so TSU = TUS = 45 + Y/2---2. Not sufficient.

Combining

90 - Y/2 + x + 45 +Y/2 = 180

therefore x = 45

So ans is C

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: 90 degree   [#permalink] 19 Feb 2009, 10:24
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# 90 degree

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