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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

The logo of a certain corporation is in the shape of a polyg [#permalink]

Show Tags

08 Jan 2013, 21:30

2

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

72% (02:39) correct
28% (01:35) wrong based on 194 sessions

HideShow timer Statistics

The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have equal measures. In the above figure V is one vertex of the polygon. If Y in degrees is the measure of an angle of the polygon and y=5x how many sides does the polygon have?

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

How did you get that step, I'm really bad at geometry...
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

How did you get that step, I'm really bad at geometry...

We are given y = 5x in the question statement. The two angles are supplementary (the two different angles made by the same line with another line) and hence add up to 180.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

hi MacFauz,

x + y = 180 6*x = 180 x = 30, y = 150

i did this way 360/30 = 12 (since all angels are equal) I guess this will not work out in all cases !

Also how u figured out this ? Sum of all interior angles = 150*n _________________

GMAT - Practice, Patience, Persistence Kudos if u like

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

hi MacFauz,

x + y = 180 6*x = 180 x = 30, y = 150

i did this way 360/30 = 12 (since all angels are equal) I guess this will not work out in all cases !

Also how u figured out this ? Sum of all interior angles = 150*n

There are "n" sides and since the figure is a polygon, there are "n" angles. Each interior angle is 150. So sum of all interior angles is 150 added "n" times or 150*n
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: The logo of a certain corporation is in the shape of a polyg [#permalink]

Show Tags

18 Feb 2013, 05:22

fozzzy wrote:

The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have equal measures. In the above figure V is one vertex of the polygon. If Y in degrees is the measure of an angle of the polygon and y=5x how many sides does the polygon have?

A 5 B 6 C 10 D 12 E 30

x+y = 180 (straight line) x+5x= 180. x=30.

Interior angle of polygon = 30 x 5 = 150.

Interior Angle of regular polygon with side n no. of sides = (2n -4) * 90 / n 150 = (2n -4) * 90 / n. Solve it. n = 12.
_________________

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

hi MacFauz,

x + y = 180 6*x = 180 x = 30, y = 150

i did this way 360/30 = 12 (since all angels are equal) I guess this will not work out in all cases !

Basically what you have done(in red) is actually true for all regular polygons. We have the exterior angle as 30 degrees from the problem.Also, the sum of all the exterior angles in case of any polygon(regular/not regular) is always 360 degrees. As it is mentioned that this is a regualr polygon, only because of that, you can divide and get the answer as 12. Thus using the formula (n-2)*180 is not necessary, atleast in this problem.
_________________

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

180*(n-2) = 150*n 30*n = 360

n = 360/30 = 12

Answer is D

hi MacFauz,

x + y = 180 6*x = 180 x = 30, y = 150

i did this way 360/30 = 12 (since all angels are equal) I guess this will not work out in all cases !

Basically what you have done(in red) is actually true for all regular polygons. We have the exterior angle as 30 degrees from the problem.Also, the sum of all the exterior angles in case of any polygon(regular/not regular) is always 360 degrees. As it is mentioned that this is a regualr polygon, only because of that, you can divide and get the answer as 12. Thus using the formula (n-2)*180 is not necessary, atleast in this problem.

Hi vinaymimani.,

That was actually shanmugamgsn's solution.. Great if it is correct.. But I would have needed to used the (n-2)*180 formula since I did not know that sum of all exterior angles of a polygon is 360.. I have not heard of that before... Can you please illustrate the same in cases of a rectangle and triangle?
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

That was actually shanmugamgsn's solution.. Great if it is correct.. But I would have needed to used the (n-2)*180 formula since I did not know that sum of all exterior angles of a polygon is 360.. I have not heard of that before... Can you please illustrate the same in cases of a rectangle and triangle?

Incase of a rectangle, the external angle for each side is (180-90)degrees = 90 degrees. And there are 4 such angles. Thus the total sum of the external angles is 90*4 = 360 degrees.

Incase of a triangle, let the 3 angles be a,b,c. a+b+c = 180 degrees.Now, the respective exterior angles are : 180-a, 180-b,180-c. Thus, their sum is 180*3-(a+b+c) = 180*2 = 360 degrees.

I hope it's clear now. Once again, we can only divide 360 degrees by 30 degrees in this problem only because it is a regular polygon.
_________________

Let number of sides be "n", hence number of interior angles is also "n" Sum of all interior angles = 150*n Formula for sum of interior angles = 180*(n-2)

Re: The logo of a certain corporation is in the shape of a polyg [#permalink]

Show Tags

30 Mar 2015, 03:53

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.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Term 1 has begun. If you're confused, wondering what my post on the last 2 official weeks was, that was pre-term. What that means is that the school...