Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Jul 2014, 09:06

Close

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
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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

GMATPrep DS: Triangles and Angles

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 12 Jul 2008
Posts: 519
Schools: Wharton
Followers: 15

Kudos [?]: 97 [0], given: 0

GMAT Tests User
GMATPrep DS: Triangles and Angles [#permalink] New post 17 Aug 2008, 07:48
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
I got this question right, but just by thinking about the relationships of the different points on the triangle. Afterwards, I did this mathematically, and it took me a very long time with a large system of equations. Anyone have any thoughts on a quicker but mathematical way of doing this?
Attachments

GMATPrep 01.07.JPG
GMATPrep 01.07.JPG [ 57.44 KiB | Viewed 612 times ]


Last edited by zonk on 17 Aug 2008, 08:49, edited 2 times in total.
Intern
Intern
avatar
Joined: 07 Jan 2006
Posts: 49
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: GMATPrep DS: Triangles and Angles [#permalink] New post 17 Aug 2008, 08:14
Unsure if my solution is right, give your thoughts.

Angle R + Angle T = Angle P = 90 degrees.

Angle R + 2A = 180 degrees (2A because QR = RS)
Angle T + 2B = 180 degrees (2B because ST = TU)

Angle R + 2A + Angle T + 2B = 360 degrees (1 triangle = 180 degrees)
90 degrees + 2A + 2B = 360 degrees
2A + 2B = 270 degrees

A + x + B = 180 degrees (given it's a straight line on the triangle)

Simplify 2A + 2B = 270 degrees by dividing by 2, which results: A + B = 135 degrees.

A + B + x = 180 degrees
135 degrees + x = 180 degrees
x = 45 degrees regardless what value A and B are as long as the given conditions are met.

Therefore, an answer can be found when both conditions are met.
1 KUDOS received
Manager
Manager
avatar
Joined: 15 Jul 2008
Posts: 210
Followers: 3

Kudos [?]: 21 [1] , given: 0

GMAT Tests User
Re: GMATPrep DS: Triangles and Angles [#permalink] New post 17 Aug 2008, 08:15
1
This post received
KUDOS
C.

Say angle PTR=x. Then angle PRT= 90-x (for right triangle PRT)

1) triangle QRS is isoceles. so angle rsq = angle rqs = (180-(90-x))/2 = 90/2 + x/2
Insufficient. for dtermining x as angle tsu is still unknown.

2) similarly will give you tus=tsu = (180-x)/2 = 180/2-x/2
Insufficient as with this alone rsq is unknown

Combine to get x= 180-rsq-tsu

So C
Re: GMATPrep DS: Triangles and Angles   [#permalink] 17 Aug 2008, 08:15
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic Triangle within a triangle and angles flehnen 11 06 Oct 2009, 11:15
1 GMATprep-angles goalsnr 17 25 Jun 2008, 16:54
1 DS: triangle/angle (GMATPrep) Rubashov1 9 24 Oct 2007, 06:00
GMATPREP Triangle DS uvs_mba 6 20 Sep 2006, 17:58
DS: Rt. Angled Triangle haas_mba07 1 14 Sep 2006, 21:38
Display posts from previous: Sort by

GMATPrep DS: Triangles and Angles

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.