GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Dec 2018, 09:09

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

What is the degree measure of angle a in the figure above?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 18 Aug 2011
Posts: 51
What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post Updated on: 25 Jun 2014, 06:55
3
8
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (01:47) correct 43% (02:07) wrong based on 304 sessions

HideShow timer Statistics

Image

What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Spoiler: :: My take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...


Attachment:
triangle.jpg
triangle.jpg [ 26.05 KiB | Viewed 11886 times ]

Originally posted by Berbatov on 26 Aug 2011, 00:31.
Last edited by Bunuel on 25 Jun 2014, 06:55, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Intern
Intern
User avatar
Joined: 11 May 2011
Posts: 19
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 26 Aug 2011, 01:57
4
Hello,
I guess its B. Please provide OA

Here's my explanaition

given
b + c = 295
180 - f + 180 - g = 295
360 - (f+g) = 295
360 - (180 -e) = 295
180 + e = 295
e = 115
hence a = 115 (vertically opposite angles)

Hope this helps.

Consider Kudos if You could understand my explanation :-D
Senior Manager
Senior Manager
User avatar
Joined: 03 Mar 2010
Posts: 377
Schools: Simon '16 (M)
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 26 Aug 2011, 01:59
1
<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B
_________________

My dad once said to me: Son, nothing succeeds like success.

Manager
Manager
avatar
Joined: 13 Aug 2012
Posts: 95
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 16 Aug 2014, 02:24
We can also use the exterior angle property to solve this question

Statement 1
No matter what we do, we can't solve for a

Statement 2
<b=<e+<g-----------------------(1)
<c=<e+<f------------------------(2)

Combining (1) & (2)
<b+<c=2<e+<f+<g
we know that <b+<c=295
295=2<e+<f+<g
295=<e+180
<e=115=<a (vertical angles)
Intern
Intern
avatar
B
Joined: 16 Dec 2013
Posts: 37
Location: United States
GPA: 3.7
GMAT ToolKit User
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 21 Jul 2015, 22:29
Berbatov wrote:
Image

What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Spoiler: :: My take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...


Attachment:
triangle.jpg



Bunuel...Why cant I draw a ll line to the base of the triangle and have d=e?

Avinash
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51215
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 21 Jul 2015, 23:50
1
Avinashs87 wrote:
Berbatov wrote:
Image

What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Spoiler: :: My take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...


Attachment:
The attachment triangle.jpg is no longer available



Bunuel...Why cant I draw a ll line to the base of the triangle and have d=e?

Avinash


For angle d to be equal to angle e below red lines must be parallel, which is not possible since we won't have a triangle in this case:
Attachment:
Untitled.png
Untitled.png [ 11.94 KiB | Viewed 9100 times ]


Check this: http://www.mathopenref.com/transversal.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 16 Dec 2013
Posts: 37
Location: United States
GPA: 3.7
GMAT ToolKit User
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 22 Jul 2015, 01:22
Yeah...My bad. I understand now.
Manager
Manager
User avatar
B
Joined: 07 Jun 2018
Posts: 110
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 21 Jun 2018, 09:27
jamifahad wrote:
<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B


I was about to ask how we knew that b+c = 180
Thanks for the explanation.

Posted from my mobile device
Intern
Intern
User avatar
B
Joined: 19 Jul 2017
Posts: 34
Re: What is the degree measure of angle a in the figure above?  [#permalink]

Show Tags

New post 01 Jul 2018, 07:05
MrJglass wrote:
jamifahad wrote:
<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B


I was about to ask how we knew that b+c = 180
Thanks for the explanation.

Posted from my mobile device

the sum of the angles in a triangle is 180 degrees. Theorem. If ABC is a triangle then <)ABC + <)BCA + <)CAB = 180 degrees
_________________

You never FAIL until you stop TRYING

[wrapimg=][/wrapimg]

GMAT Club Bot
Re: What is the degree measure of angle a in the figure above? &nbs [#permalink] 01 Jul 2018, 07:05
Display posts from previous: Sort by

What is the degree measure of angle a in the figure above?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.