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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

answer E. both statements say the same thing , so its either D or E. given the info in either of the statemenst we cannot test the relationship between angles PRS and PQR. therefore answer E.

Re: DS: Angles in triangles [#permalink]
22 Sep 2005, 20:30

D. 30 deg.

from i, Lprs=Lpqr+Lqpr.
so Lprs-Lpqr=Lqor = 30

from ii, if Lpqr+Lprq =150,
Lqpr = 30, because Lprq+Lpqr+Lqpr =180 and 150+Lqpr =180. so again Lqpr =180-150= 30. therefore the angle prs is 30 degree greater than the angle pqr.

note: we dont need to find individual angle values, just the difference between angles PRS and PQR (lets call them x,y respectively), so we need to find x-y

let angle PRQ=z

statement I: angle QPR=30, so y+z=150, also z+x=180, therefore z=150-y, and 150-y+x=180 OR x-y=30. Sufficient.

Statement II: angles y+z=150, and we also know that z+x=180, so x-y=30, Sufficient.

Re: In the figure shown, the measure of angle PRS is how many [#permalink]
09 Dec 2013, 14:04

I've just had a bit of a revelation in solving this problem.

Looking at triangle PRS we have the 90 degree angle at S and the two other angles adding up to 90. Now looking at the 30 degree angle of triangle PRQ. We know that PRS = 180 - PRQ but for the life of me I couldn't figure out why we knew the exact angle difference. Then it dawned on me, PRQ obviously has to add up to 180. Assuming angle PRQ remains constant, for every degree change in in QPR, there has to be an equal and opposite change in PQR. In other words, if QPR got 10 degrees larger, PQR would have to shrink by 10 degrees. If the line PQ were to be flat then obviously the "angle" measurement would be the same but it's 30 degrees "higher" meaning it's degree measure is 30 degrees less. If QPR changes, PQR must change by the same, but opposite amount.

It may not be anything special to the math geniuses here but it is to be :D

Re: In the figure shown, the measure of angle PRS is how many [#permalink]
10 Dec 2013, 02:59

Expert's post

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

How the growth of emerging markets will strain global finance : Emerging economies need access to capital (i.e., finance) in order to fund the projects necessary for...

One question I get a lot from prospective students is what to do in the summer before the MBA program. Like a lot of folks from non traditional backgrounds...