It is currently 24 Mar 2019, 03:28
My Tests

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.

Sum of the exterior angles

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 [0], given: 5471

CAT Tests
Sum of the exterior angles [#permalink] New post 08 Jan 2018, 14:19
Expert's post
00:00

Question Stats:

41% (00:26) correct 58% (00:31) wrong based on 24 sessions


Quantity A
Quantity B
Sum of the exterior angles in a regular hexagon
720 degrees


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudo for the right answer and explanation.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Manager
Manager
Joined: 25 Nov 2017
Posts: 51
Followers: 0

Kudos [?]: 41 [0], given: 5

Re: Sum of the exterior angles [#permalink] New post 10 Jan 2018, 01:19
So let's calculate the interior angle first.
(N-2)180 = 4*180 = 720.
Since the interio angles all egal to 720 it must be true that the extorior are greater than it.

Or what we can do is to determine one angle = 120 angles and draw a circle around all the angles. The area of the exterior angle will then equal 240 and we just add those 6 times.

Answer A
3 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 544 [3] , given: 88

Re: Sum of the exterior angles [#permalink] New post 10 Jan 2018, 01:24
3
This post received
KUDOS
for a hexagon total sides =6
sum of all interior angle of a regular polygon = (n-2)180
for 6 sides this is 4*180 = 720 degree
measure of 1 internal angle=720/6 = 120 degree
Any 1 of the 6 vertex can be extended to form a straight line
Straight angle =180 degree. This leaves us with 180-120= 60 degree for a single external angle
60*6=360 degree = sum of exterior angles (B)
Attachments

geometry_0070.gif
geometry_0070.gif [ 5.03 KiB | Viewed 1902 times ]


_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 [0], given: 5471

CAT Tests
Re: Sum of the exterior angles [#permalink] New post 10 Jan 2018, 01:50
Expert's post
B is the OA.

regards
_________________

Get the 2 FREE GREPrepclub Tests

Director
Director
Joined: 09 Nov 2018
Posts: 509
Followers: 0

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

Re: Sum of the exterior angles [#permalink] New post 19 Jan 2019, 19:12
Ans B
1 KUDOS received
Intern
Intern
Joined: 12 Nov 2018
Posts: 18
Followers: 0

Kudos [?]: 4 [1] , given: 16

Re: Sum of the exterior angles [#permalink] New post 07 Feb 2019, 07:07
1
This post received
KUDOS
For any polygon, the sum of the exterior angles is always 360. So, as the polygon is a hexa and regular, so it has six equal exterior angles. So, 360/6=60 degree
Re: Sum of the exterior angles   [#permalink] 07 Feb 2019, 07:07
Display posts from previous: Sort by

Sum of the exterior angles

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.