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# GMAT prep - geometry

Author Message
Intern
Joined: 29 Dec 2006
Posts: 31

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14 Apr 2009, 15:50
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:58) wrong based on 0 sessions

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Intern
Joined: 09 Apr 2009
Posts: 7
Re: GMAT prep - geometry [#permalink]

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14 Apr 2009, 16:06
First of all both statements give us the same info, so A & B are out in the case of guessing.

Now, the exterior angle of an angle in a triangle is equal to 180 - that angle. By giving us QPR they give us the difference between the exterior angles of the two triangles (the external angles of QPS and RPS). Since the two triangles share the right angle, that difference can only come from the angles PRS and PQR. The difference between them being 30 degrees.

I hope I made it clear enough, it's not easy to explain it.
Intern
Joined: 05 Jun 2007
Posts: 48
Schools: CMU, Ross, Kellogg, Case, OSU, Stanford, Kelley
Re: GMAT prep - geometry [#permalink]

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14 Apr 2009, 16:35
The Ans would be D - each statement alone is sufficient to answer the question

Question Stem : We need to find out angle PRS - angle PQR

Stmt 1 : angle QPR = 30

Let angle RPS be a
Sum of angles in a triangle = 180
So,
PSR + PRS + RPS = 180 ;
90+PRS+a = 180 ; PRS = 90 - a

using the same property of triangles for triangle QPS ;
PQS+QSP+QPS=180
PQS+90+30+a=180
PQS=60-a
or
PQR = 60 - a
Hence we know the difference between angle PRS & angle PQR
Sufficient

Stmt 2 : Angles PQR & PRQ = 150
which is nothing but angle QPR = 30 (from properties of triangles - sum of angles in a triangle = 180)
Sufficient

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

This is not a quality discussion. It has been retired.

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.
Re: GMAT prep - geometry   [#permalink] 14 Apr 2009, 16:35
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