GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 04:05

### 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

# In the figure above, two lines intersect. Which of the following must

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58421
In the figure above, two lines intersect. Which of the following must  [#permalink]

### Show Tags

19 Jul 2017, 03:53
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:44) correct 27% (02:01) wrong based on 56 sessions

### HideShow timer Statistics

In the figure above, two lines intersect. Which of the following must be equal to 180 – x?

(A) x + y
(B) x + z
(C) y + z
(D) y + w
(E) z + w

Attachment:

2017-07-19_1452.png [ 5.48 KiB | Viewed 911 times ]

_________________
Manager
Joined: 14 Oct 2015
Posts: 243
GPA: 3.57
Re: In the figure above, two lines intersect. Which of the following must  [#permalink]

### Show Tags

19 Jul 2017, 04:13
Bunuel wrote:

In the figure above, two lines intersect. Which of the following must be equal to 180 – x?

(A) x + y
(B) x + z
(C) y + z
(D) y + w
(E) z + w

Attachment:
2017-07-19_1452.png

It should be A

A - $$y + 2x = 180$$ --> $$y + x + x = 180$$ --> $$180 - x = x + y$$
B - information doesn't suggest this is the case.
C - y + z = 180
D - information doesn't suggest this is the case.
E - z + w = 180
_________________
Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!
Intern
Joined: 19 Dec 2016
Posts: 45
Location: India
WE: Consulting (Computer Software)
Re: In the figure above, two lines intersect. Which of the following must  [#permalink]

### Show Tags

19 Jul 2017, 04:23
y=180-2x
z=2x
w=y=180-2x

Now if i chose

option A which is x+y = x+180-2x = 180-x
option B which is x+z =x+2x= 3x
option C which is y+z = 180-2x+2x= 180
option D which is y+w = 180-2x+180-2x= 360-4x
Option E which is z+w = 2x+180-2x=180

_________________
If you want to appreciate, just click on Kudos.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: In the figure above, two lines intersect. Which of the following must  [#permalink]

### Show Tags

25 Jul 2017, 10:56
1
Bunuel wrote:

In the figure above, two lines intersect. Which of the following must be equal to 180 – x?

(A) x + y
(B) x + z
(C) y + z
(D) y + w
(E) z + w

We see that 2x + y + z + w = 360. Dividing both sides by 2, we have:

x + (y + z + w)/2 = 180

(y + z + w)/2 = 180 - x

We see that (180 - x) equals (y + z + w)/2; however, this is not given in the choices. Upon further analysis, we see that w = y and z = 2x, so we have:

180 - x = (y + z + w)/2 = (y + 2x + y)/2 = x + y. Thus, we see that (180 - x) = x + y.

Alternate Solution:

From the figure, we observe that 2x + y = 180. Subtracting x from each side, we get x + y = 180 - x.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 13344
Re: In the figure above, two lines intersect. Which of the following must  [#permalink]

### Show Tags

28 Feb 2019, 10:50
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.
_________________
Re: In the figure above, two lines intersect. Which of the following must   [#permalink] 28 Feb 2019, 10:50
Display posts from previous: Sort by