It is currently 16 Feb 2019, 10:03

### 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

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5523
Followers: 89

Kudos [?]: 1113 [0], given: 5130

In the figure above [#permalink]  24 Aug 2018, 15:18
Expert's post
00:00

Question Stats:

62% (01:14) correct 37% (01:20) wrong based on 8 sessions
Attachment:

lines.jpg [ 13.17 KiB | Viewed 471 times ]

In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 809
WE: Engineering (Energy and Utilities)
Followers: 9

Kudos [?]: 582 [1] , given: 113

Re: In the figure above [#permalink]  28 Aug 2018, 04:04
1
KUDOS
Carcass wrote:
Attachment:
lines.jpg

In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70

We can write as,

x + (y - z) = 180

or 100 + 120 - z = 180

or z = 40
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Intern
Joined: 16 Aug 2018
Posts: 4
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: In the figure above [#permalink]  29 Aug 2018, 11:41
pranab01 wrote:
Carcass wrote:
Attachment:
lines.jpg

In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70

We can write as,

x + (y - z) = 180

or 100 + 120 - z = 180

or z = 40

The post above states that the answer is C, yet this states that the answer is B (40). Which is correct? Also, why did you go about solving it this way (subtracting z)? Thank you very much in advance for explaining the reasoning behind this for me
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1732 [1] , given: 397

Re: In the figure above [#permalink]  06 Sep 2018, 15:55
1
KUDOS
Expert's post
First you calculate the angle marked in red which is $$y-z$$

And the you calculate the angle marked in violet $$x+y-z$$. Since the angle in violet is a straight line you can write:

$$x+y-z=180$$

Substituting the values of x and y we can obtain the value of $$z=40.$$
Attachments

Inkedlines_LI.jpg [ 812.11 KiB | Viewed 384 times ]

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Moderator
Joined: 18 Apr 2015
Posts: 5523
Followers: 89

Kudos [?]: 1113 [0], given: 5130

Re: In the figure above [#permalink]  06 Sep 2018, 16:17
Expert's post
Another approach is to consider the entire full rotation angle which is 360°

Now of this 360 x is 100 so z = 260 and y is 120 so z = 40°.

Z must be 40°.

Hope this helps

Regards
_________________
Re: In the figure above   [#permalink] 06 Sep 2018, 16:17
Display posts from previous: Sort by