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

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In the figure shown, the measure of angle PRS is how many de [#permalink] New post 26 Sep 2005, 12:25
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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
[Reveal] Spoiler: OA

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Last edited by Bunuel on 11 Sep 2013, 00:29, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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 [#permalink] New post 26 Sep 2005, 13:18
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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 [#permalink] New post 26 Sep 2005, 18:36
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Re: ds - angles [#permalink] New post 27 Sep 2005, 06:19
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

answer is D
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Re: ds - angles [#permalink] New post 10 Sep 2013, 20:36
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.

So, answer is D.
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Re: In the figure shown, the measure of angle PRS is how many de [#permalink] New post 11 Sep 2013, 00:30
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In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR.

Image
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

Answer: D.

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] 11 Sep 2013, 00:30
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