Last visit was: 16 Nov 2024, 02:53 It is currently 16 Nov 2024, 02:53
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

a + b + c vs 180

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4813
Own Kudos [?]: 11166 [1]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
a + b + c vs 180 [#permalink] New post   26 Sep 2018, 15:34
Expert Reply
1
Bookmarks
00:00

Question Stats:

76% (00:39) correct 23% (00:16) wrong based on 105 sessions

Hide Show timer Statistics

Attachment:
Capture.JPG
Capture.JPG [ 10.73 KiB | Viewed 5859 times ]


Quantity A
Quantity B
a + b + c
180


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.
ShowHide Answer
Official Answer
A
avatar
pooja07
Intern
Intern
Joined: 27 Sep 2018
Posts: 4
Own Kudos [?]: 7 [0]
Given Kudos: 0
Send PM
Re: a + b + c vs 180 [#permalink] New post   27 Sep 2018, 01:58
1
the sum of all exterior angles of all polygons is 360 degrees. hence A is greater than B.
OR
LET A,B,C be the interior angles of a,b,c respectively. Hence, a=180-A, b=180-B, c=180-C.
a+b+c= 180-A+180-B+180-C = 180-180-180- (A+B+C) = 540- 180 (USING ANGLE SUM PROPERTY)
a+b+c=360.
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 133 [0]
Given Kudos: 0
Send PM
Re: a + b + c vs 180 [#permalink] New post   12 Jan 2019, 09:28
By polygon exterior angle rule Answer C.
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [0]
Given Kudos: 136
Send PM

Top Member of the Month
a + b + c vs 180 [#permalink] New post   14 Jan 2019, 06:46
sandy wrote:
Attachment:
Capture.JPG


Quantity A
Quantity B
a + b + c
180



Let's add 3 extra angles
Image

Since angles in a triangle add to 180°, we can write: x + y + z = 180

Since angles on a line add to 180°, we can write the following:
a + z = 180
b + y = 180
c + x = 180
Add the 3 equations to get: (a + z) + (b + y) + (c + x) = 540
Rewrite as: a + b + c + x + y + z = 540

Since x + y + z = 180, we can write: a + b + c + 180 = 540
Subtract 180 from both sides to get: a + b + c = 360

We get:
QUANTITY A: 360
QUANTITY B: 180

Answer: A

Cheers,
Brent
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5014
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: a + b + c vs 180 [#permalink] New post   04 Nov 2021, 02:15
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: a + b + c vs 180 [#permalink]
04 Nov 2021, 02:15
Moderators:
adewale223
GRE Instructor
78 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact