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In the figure shown, the measure of angle PRS is how many de

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Joined: 30 Sep 2004
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In the figure shown, the measure of angle PRS is how many de [#permalink]

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Updated on: 11 Sep 2013, 01:29
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In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR.

(1) The measure of angle QPR is 30°.
(2) The sum of the measures of angles PQR and PRQ is 150°.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-attached-measure-of-angle-prs-is-how-many-102829.html

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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Originally posted by christoph on 26 Sep 2005, 13:25.
Last edited by Bunuel on 11 Sep 2013, 01:29, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Joined: 07 Oct 2004
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26 Sep 2005, 14:18
Tough one.. Statements 1 and 2 essentially give same information, so you can go straight to D or E. I got 30 degreees difference, hence D.

30+(180-y)+z=180

y-z=30
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Joined: 05 Apr 2005
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26 Sep 2005, 19:36
Intern
Joined: 05 May 2005
Posts: 42

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27 Sep 2005, 07:19
christoph wrote:
in the figure shown, the measure of angle prs is how many degrees greater than the measure of angle pqr ?

1) the measure of angle qpr is 30
2) the sum of the measures of angles pqr and prq is 150

1) if qpr is 30, then prs is 90-x and pqr is 60-x, prs is 30 degrees > than pqr -> suff.

2) this yields the same that qpr is 30 degrees so it is suff. as well

Intern
Joined: 16 Dec 2012
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10 Sep 2013, 21:36
Angle prs is equal to sum of opposite interior angles pqr and qpr. So, prs-pqr= qpr.

So, 1 is sufficient since qpr =30.

And pqr+prq = 150, So, qpr = 180 - (pqr+prq) = 180-150 = 30. So, 2 is also sufficient.

Math Expert
Joined: 02 Sep 2009
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Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

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11 Sep 2013, 01:30
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In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR.

Q: <PRS-<PQR=?

(1) The measure of angle QPR is 30°. <QPR=30 --> in triangle QPR three angles sum=180=<QPR+<PQR+<PRQ -->180=30+<PQR+(180-<PRS) --> 30=<PRS-<PQR SUFFICIENT

(2) The sum of the measures of angles PQR and PRQ is 150°. Basically the same information is given <PQR+<PRQ=150 --> <PQR+180-<PRS=150 --> 30=<PRS-<PQR SUFFICIENT

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-attached-measure-of-angle-prs-is-how-many-102829.html
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Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

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08 Jul 2018, 01:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the figure shown, the measure of angle PRS is how many de   [#permalink] 08 Jul 2018, 01:55
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