Last visit was: 15 Jul 2025, 09:52 It is currently 15 Jul 2025, 09:52
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
Sub 505 Level|   Geometry|                     
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Jul 2025
Posts: 102,579
Own Kudos:
741,613
 [6]
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,579
Kudos: 741,613
 [6]
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
User avatar
anudeep133
Joined: 10 Aug 2015
Last visit: 14 Dec 2018
Posts: 94
Own Kudos:
263
 [4]
Given Kudos: 20
Posts: 94
Kudos: 263
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 2,052
Own Kudos:
9,694
 [1]
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
Posts: 2,052
Kudos: 9,694
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,788
Own Kudos:
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,788
Kudos: 12,493
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi All,

This question is based on a few 'line rules' that you will be tested on when you take the GMAT:

1) The angles on a line add up to 180 degrees.
2) Opposite angles are equal.

While there are a couple of different ways to go about answering this question, you would likely find it easiest to deal with one variable at a time.

We know that 2X + 3X = 180, so let's start there...

5X = 180
X = 36

Next, we know that 2X = Y + 30. Plugging in the value of X, we have...

2(36) = Y = 30
72 = Y + 30
42 = Y

The question asks us for the value of Y.

Final Answer:
GMAT assassins aren't born, they're made,
Rich
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Jul 2025
Posts: 102,579
Own Kudos:
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,579
Kudos: 741,613
Kudos
Add Kudos
Bookmarks
Bookmark this Post

In the figure above, the value of y is

(A) 6
(B) 12
(C) 24
(D) 36
(E) 42

Attachment:
2017-08-01_1347.png
2017-08-01_1347.png [ 14.27 KiB | Viewed 20017 times ]
User avatar
pushpitkc
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,819
Own Kudos:
5,871
 [2]
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,819
Kudos: 5,871
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Quote:


Rule : Sum of angles in a straight line is 180°

We can say that 2x + 3x = 180°
5x = 180° => x = 36°

Again using the same property that in the other straight line
3x + y + 30 = 180°
3*36° + y + 30 = 180°
y = 180 - 108 - 30 = 42°(Option E)
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,996
Own Kudos:
7,936
 [1]
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,996
Kudos: 7,936
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, the value of y is

(A) 6
(B) 12
(C) 24
(D) 36
(E) 42

Attachment:
2017-08-01_1347.png

We can first solve for x. Since 2x and 3x make a straight line:

2x + 3x = 180

5x = 180

x = 36

We also see that 2x = y + 30; thus:

2(36) = y + 30

72 = y + 30

42 = y

Answer: E
User avatar
rxb266
Joined: 30 Nov 2018
Last visit: 27 Jun 2024
Posts: 138
Own Kudos:
Given Kudos: 79
Location: India
Concentration: Strategy, Marketing
GPA: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Here 5x = 180 -> x = 32

2x = y + 30 -> x = 42 (Option E)
Moderators:
Math Expert
102579 posts
PS Forum Moderator
691 posts