Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 04:19

### 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

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 10 Apr 2012
Posts: 276
Location: United States
Concentration: Technology, Other
GPA: 2.44
WE: Project Management (Telecommunications)
Followers: 5

Kudos [?]: 910 [0], given: 325

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:

55% (hard)

Question Stats:

65% (02:30) correct 35% (01:44) wrong based on 40 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
VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 191

Kudos [?]: 2100 [1] , given: 219

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

### Show Tags

16 Apr 2013, 14:11
1
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]

Math Expert
Joined: 02 Sep 2009
Posts: 39047
Followers: 7753

Kudos [?]: 106515 [1] , given: 11627

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

### Show Tags

17 Apr 2013, 00:35
1
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
_________________
Re: The measures of the interior angles in a polygon   [#permalink] 17 Apr 2013, 00:35
Similar topics Replies Last post
Similar
Topics:
5 The sum of the interior angle measures for any n-sided polygon equals 3 21 Mar 2017, 06:13
1 If a represents the measure of an interior angle of a regular octagon 2 30 Nov 2016, 03:46
24 The measures of the interior angles in a polygon are 14 21 Dec 2016, 23:03
48 The measures of the interior angles in a polygon are 21 24 Apr 2017, 13:05
1 If the sum of the interior angles of a regular polygon measures up to 7 11 May 2016, 11:27
Display posts from previous: Sort by