Last visit was: 06 May 2026, 17:59 It is currently 06 May 2026, 17:59
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 06 May 2026
Posts: 110,125
Own Kudos:
813,340
 [4]
Given Kudos: 106,073
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,125
Kudos: 813,340
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,528
 [2]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,528
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
General Discussion
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 05 May 2026
Posts: 8,639
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,639
Kudos: 5,193
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 06 May 2026
Posts: 22,323
Own Kudos:
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,323
Kudos: 26,569
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, x + y =

A. 40
B. 120
C. 140
D. 180
E. 220


Attachment:
2018-12-25_1917.png

We can create the equation for the 3 interior angles of the triangle:

(180 - y) + (180 - x) + (180 - 140) = 180

220 = x + y

Alternate solution:

We know the sum of the measures of the exterior angles of any polygon is 360 degrees. Here, x, y, and 140 are the measures of the exterior angles of the triangle; therefore,

x + y + 140 = 360

x + y = 220

Answer: E
User avatar
Luca1111111111111
Joined: 20 Apr 2019
Last visit: 04 Feb 2020
Posts: 75
Own Kudos:
Given Kudos: 20
Posts: 75
Kudos: 54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
a + x = 180
y = 40 + a
a = 180 -x
y = 40 + 180 - x
y + x = 220
User avatar
Pritishd
User avatar
UNC Kenan Flagler Moderator
Joined: 18 Jul 2015
Last visit: 05 Jul 2025
Posts: 230
Own Kudos:
315
 [1]
Given Kudos: 120
GMAT 1: 530 Q43 V20
WE:Analyst (Consumer Packaged Goods)
GMAT 1: 530 Q43 V20
Posts: 230
Kudos: 315
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

In the figure above, x + y =

A. 40
B. 120
C. 140
D. 180
E. 220


Attachment:
2018-12-25_1917.png

An alternate approach would be to use the property that an exterior angle is the sum of the 2 opposite interior angles. In this case, the two bottom angles of the triangle can be written as \(180-x\) and \(180-y\).

\(180-x + 180-y = 140\)
\(360-140 = x+y\)
\(220 = x+y\) (Ans. E)
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,020
Own Kudos:
Posts: 39,020
Kudos: 1,123
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
110125 posts
Tuck School Moderator
852 posts