It is currently 19 Nov 2017, 19:28

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The measures of the interior angles in a polygon

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

### Hide Tags

Senior Manager
Joined: 10 Apr 2012
Posts: 277

Kudos [?]: 1181 [0], given: 325

Location: United States
Concentration: Technology, Other
GPA: 2.44
WE: Project Management (Telecommunications)
The measures of the interior angles in a polygon [#permalink]

### Show Tags

16 Apr 2013, 13:28
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:22) correct 33% (01:50) wrong based on 52 sessions

### HideShow timer Statistics

The measures of the interior angles in a polygon are consecutive integers. The largest angle measures 110 degrees. How many sides does this polygon have?

A) 5
B) 6
C) 7
D) 9
E) 11
[Reveal] Spoiler: OA

Kudos [?]: 1181 [0], given: 325

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1120

Kudos [?]: 2370 [1], given: 219

Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: The measures of the interior angles in a polygon [#permalink]

### Show Tags

16 Apr 2013, 14:11
1
This post received
KUDOS
The sum of the angles will be a multiple of 180°. And in a polygon number of sides = number of angles.

If the first angle is 110, the others are consecutive : $$110-1,110-2,...$$

We have to make sure that their sum is a multiple of 180°. Let's try with A:
Tot sum angles: $$110+110-1+110-2+110-3+110-4=110*5-10=540$$ multiple of 180. CORRECT
With every other option we would add one or more angles that would make the sum a "NOT" multiple of 180.
Example C) 7:$$110*7-1-2-3-4-5-6$$ without doing any math here it's easy to see that $$-(1+2+3+4+5+6)=-21$$ so their sum will not be a multiple of 180
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Kudos [?]: 2370 [1], given: 219

Math Expert
Joined: 02 Sep 2009
Posts: 42259

Kudos [?]: 132730 [1], given: 12335

Re: The measures of the interior angles in a polygon [#permalink]

### Show Tags

17 Apr 2013, 00:35
1
This post received
KUDOS
Expert's post
guerrero25 wrote:
The measures of the interior angles in a polygon are consecutive integers. The largest angle measures 110 degrees. How many sides does this polygon have?

A) 5
B) 6
C) 7
D) 9
E) 11

Almost the same question from MGMAT:
Quote:
The measures of the interior angles in a polygon are consecutive integers. The smallest angle measures 136 degrees. How many sides does this polygon have?

A. 8
B. 9
C. 10
D. 11
E. 13

Discussed here: the-measures-of-the-interior-angles-in-a-polygon-are-127388.html
_________________

Kudos [?]: 132730 [1], given: 12335

Re: The measures of the interior angles in a polygon   [#permalink] 17 Apr 2013, 00:35
Display posts from previous: Sort by

# The measures of the interior angles in a polygon

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.