It is currently 19 Oct 2017, 08:04

# STARTING SOON:

Live Chat with Cornell Adcoms in Main Chat Room  |  R1 Interview Invites: MIT Sloan Chat  |  UCLA Anderson Chat  |  Duke Fuqua Chat (EA Decisions)

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

SVP
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1006 [0], given: 1

In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

31 Mar 2008, 05:43
13
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

52% (01:40) correct 48% (01:52) wrong based on 366 sessions

### HideShow timer Statistics

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

Attachments

DS Triangle.doc [27 KiB]

Last edited by Bunuel on 12 Aug 2014, 07:33, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

Kudos [?]: 1006 [0], given: 1

Manager
Joined: 20 Aug 2007
Posts: 64

Kudos [?]: 20 [4], given: 0

Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

31 Mar 2008, 06:09
4
KUDOS
1
This post was
BOOKMARKED
tarek99 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 degrees

(2) The sume of the measures of angles PQR and PRQ is 150 degrees

Can someone show me how to solve this problem? the OA is D, but how? I chose E.
thanks

<S is 90 degree, hope this is correct

PQR + QPS = 90 ---(1)
RPS + PRS = 90 ---(2)
both are because of internal angles of triangle = 180, and S is 90

What we want to find is PRS - PQR
we equate (1) and (2)
PQR + QPS = RPS + PRS
Thus PRS - PQR = QPS - RPS
so if we know difference between QPS and RPS, then we know the answer

1) QPR = 30
QPR = QPS - RPS = 30 - sufficient

2) tells that QPR = 30 from internal angles of triangle, thus sufficient

Kudos [?]: 20 [4], given: 0

SVP
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1006 [0], given: 1

Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

31 Mar 2008, 06:35
thanks a lot man. and yes, you're right....angle S is 90 degrees. sorry for the typo!
thanks again

Kudos [?]: 1006 [0], given: 1

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16670

Kudos [?]: 273 [0], given: 0

Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

10 Aug 2014, 11:26
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128862 [1], given: 12183

Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

12 Aug 2014, 07:34
1
KUDOS
Expert's post
8
This post was
BOOKMARKED
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
_________________

Kudos [?]: 128862 [1], given: 12183

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16670

Kudos [?]: 273 [0], given: 0

Re: In the figure shown, the measure of angle PRS is how many de [#permalink]

### Show Tags

16 Aug 2015, 14:17
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Re: In the figure shown, the measure of angle PRS is how many de   [#permalink] 16 Aug 2015, 14:17
Display posts from previous: Sort by