What is the value of x + y in the figure above? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 22:42

### 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

# What is the value of x + y in the figure above?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2329 [0], given: 0

What is the value of x + y in the figure above? [#permalink]

### Show Tags

26 Dec 2012, 04:18
31
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:10) correct 40% (01:08) wrong based on 942 sessions

### HideShow timer Statistics

Attachment:

Angles.png [ 8.38 KiB | Viewed 8114 times ]
What is the value of x + y in the figure above?

(1) w= 95
(2) z = 125
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93379 [6] , given: 10557

Re: What is the value of x + y in the figure above? [#permalink]

### Show Tags

26 Dec 2012, 04:23
6
KUDOS
Expert's post
7
This post was
BOOKMARKED

What is the value of x + y in the figure above?

Sum of Interior Angles of a polygon is $$180(n-2)$$ where $$n$$ is the number of sides (so is the number of angles). So, the sum of the interior angles of a quadrilateral is 180*2=360. Look at the diagram below:
Attachment:

Angles2.png [ 9.97 KiB | Viewed 7911 times ]
According to the above: (180-x)+(180-y)+(180-z)+(180-w)=360 --> x+y=360-w-z, so all we need to know is the values of w and z.

(1) w= 95. Not sufficient.
(2) z = 125. Not sufficient.

(1)+(2) Sufficient.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13492
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: What is the value of x + y in the figure above? [#permalink]

### Show Tags

30 Jun 2014, 09:43
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13492
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: What is the value of x + y in the figure above? [#permalink]

### Show Tags

29 Jul 2015, 06:32
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.
_________________
Current Student
Joined: 12 Feb 2011
Posts: 104
Followers: 0

Kudos [?]: 30 [1] , given: 3362

Re: What is the value of x + y in the figure above? [#permalink]

### Show Tags

13 Feb 2016, 12:15
1
KUDOS
In line to Bunuel's solution, we can also solve it using exterior angle and vertical angle properties. The sum of all exterior angles for a polygon is 360. So x+y = 360 - (w+z), and both 1 and 2 together provide the same.
Re: What is the value of x + y in the figure above?   [#permalink] 13 Feb 2016, 12:15
Similar topics Replies Last post
Similar
Topics:
2 In the figure above, what is the value of x? 1 29 Dec 2015, 06:41
21 In the figure above, what is the value of x? 7 25 Mar 2013, 21:57
33 In the figure above, what is the value of x + y ? 24 18 Dec 2012, 05:08
2 In the figure above, what is the value of x + y ? 4 28 Dec 2011, 06:48
19 What is the value of x+y in the figure above? 5 08 Mar 2011, 13:16
Display posts from previous: Sort by