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

It is currently 20 Nov 2018, 13:53
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar

  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
    GMAT: Verbal | GMAT: Quantitative | Free

  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
    GMAT: Verbal | GMAT: Quantitative | Free
CLICK HERE TO HIDE/SHOW EVENTS

If ABCDE is a regular pentagon, what is the value of x in the figure a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Premium Member
Top Member of the Month
If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 16 Oct 2016, 05:43
2
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:00) correct 19% (01:26) wrong based on 67 sessions

HideShow timer Statistics

Image
If ABCDE is a regular pentagon, what is the value of x in the figure above?

A. 36
B. 42
C. 45
D. 48
E. 72

Spoiler: ::
Attachment:
T6103.png
T6103.png [ 7.89 KiB | Viewed 2804 times ]
Spoiler: OA

_________________

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

Manager
Manager
avatar
Joined: 28 Jun 2016
Posts: 207
Location: Canada
Concentration: Operations, Entrepreneurship
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 16 Oct 2016, 06:52
Sum of angles of pentagon = (5-2)*180 = 540

Individual angle of regular pentagon = 540/5 = 108

The sum of angles of quadrilateral BCDF = 360

108+108+108+x=360

x=36

A


Sent from my iPhone using GMAT Club Forum mobile app
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2702
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 16 Oct 2016, 08:30
Bunuel wrote:
Image
If ABCDE is a regular pentagon, what is the value of x in the figure above?

A. 36
B. 42
C. 45
D. 48
E. 72

Spoiler: ::
Attachment:
T6103.png


Exterior angle = 360/n where n is the number of sides of polygon

So the exterior angles at points A and E = 360/5 = 72

Now, Sum of the angles in Triangle AFE = x+72+72 = 180
i.e. x = 180-144 = 36

Answer: Option A
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4230
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 16 Oct 2016, 10:52
1
1
Bunuel wrote:
Image
If ABCDE is a regular pentagon, what is the value of x in the figure above?

A. 36
B. 42
C. 45
D. 48
E. 72

Spoiler: ::
Attachment:
T6103.png


Each internal ∠ of a regular pentagon = 108°
So, External ∠EAF = ∠AEF = ( 180° - 108° ) => 72°

We know that in a triangle sum of the three internal angles is = 180°

Hence, ∠EAF + ∠AEF + x° = 180°

Or, 72° + 72° + x° = 180°

Or, x° = 36°

Hence correct answer will be (A) 36°
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

VP
VP
User avatar
P
Joined: 05 Mar 2015
Posts: 1000
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 16 Oct 2016, 11:53
1
Bunuel wrote:
Image
If ABCDE is a regular pentagon, what is the value of x in the figure above?

A. 36
B. 42
C. 45
D. 48
E. 72

Spoiler: ::
Attachment:
The attachment T6103.png is no longer available


.
Attachments

T6103.png
T6103.png [ 14.23 KiB | Viewed 2162 times ]

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8865
Premium Member
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a  [#permalink]

Show Tags

New post 20 Oct 2018, 02:10
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If ABCDE is a regular pentagon, what is the value of x in the figure a &nbs [#permalink] 20 Oct 2018, 02:10
Print view
First unread post
Display posts from previous: Sort by

If ABCDE is a regular pentagon, what is the value of x in the figure a

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

Moderators: chetan2u, Bunuel, VeritasKarishma, niks18, Gladiator59, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions