Last visit was: 29 Apr 2026, 15:07 It is currently 29 Apr 2026, 15:07
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 29 Apr 2026
Posts: 109,975
Own Kudos:
811,981
 [5]
Given Kudos: 105,949
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,975
Kudos: 811,981
 [5]
In ∆ ABC above, which of the following could be a value of x? 24 Aug 2017, 02:03
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (01:23) correct 13% (01:39) wrong based on 120 sessions

History

Date
Time
Result
Not Attempted Yet

In ∆ ABC above, which of the following could be a value of x?

(A) 12
(B) 8
(C) 4
(D) 2
(E) 1


Show Spoiler
Attachment:
2017-08-24_1250_002.png
2017-08-24_1250_002.png [ 6.83 KiB | Viewed 2806 times ]
ShowHide Answer
Official Answer
A
User avatar
vishalkazone
User avatar
Joined: 08 Sep 2008
Last visit: 22 Mar 2024
Posts: 101
Own Kudos:
113
Given Kudos: 17
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE:Operations (Transportation)
Schools: ISB '20
Posts: 101
Kudos: 113
In ∆ ABC above, which of the following could be a value of x? 24 Aug 2017, 02:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
As per diagram
Angle A+C =90 degree
So A+(C/ something) < 90
Angle B has to be more than 90 to make triangle ABC =180
Option: A

Sent from my ASUS_Z010D using GMAT Club Forum mobile app
User avatar
Luckisnoexcuse
User avatar
Current Student
Joined: 18 Aug 2016
Last visit: 31 Mar 2026
Posts: 513
Own Kudos:
684
 [1]
Given Kudos: 198
Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Products:
My Reviews
Schools: Kenan-Flagler '20 (M)
GMAT 2: 740 Q51 V38
Posts: 513
Kudos: 684
 [1]
In ∆ ABC above, which of the following could be a value of x? 24 Aug 2017, 02:41
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In ∆ ABC above, which of the following could be a value of x?

(A) 12
(B) 8
(C) 4
(D) 2
(E) 1


Show Spoiler
Attachment:
2017-08-24_1250_002.png
Show more
10x = sum of interior opposite angles which is greater than 90

only possible value is 120
A
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 29 Apr 2026
Posts: 22,299
Own Kudos:
26,556
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: 22,299
Kudos: 26,556
In ∆ ABC above, which of the following could be a value of x? 29 Aug 2017, 17:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In ∆ ABC above, which of the following could be a value of x?

(A) 12
(B) 8
(C) 4
(D) 2
(E) 1
Show more

We can let the vertex of the right angle be D. Thus, triangle BCD is a right triangle with right angle at D. So, angle ABC (with measure 10x) is an exterior angle of triangle BCD and is equal to the sum of angle BDC and angle BCD (recall that an exterior angle of a triangle is equal to the two remote interior angles of the triangle). Since angle BDC is a right angle (90 degrees), angle ABC must be more than 90 degrees. From the answer choices, we see that only choice A (12) would make angle ABC more than 90 degrees.

Alternate Solution:

We can express the angle CBD (where D denotes the vertex of the right triangle) as 180 - 10x.

In a right triangle, the right angle is the greatest; therefore, we must have 180 - 10x < 90, or equivalently, 18 - x < 9. This inequality can be further simplified as x > 9. Only choice A (12) satisfies this requirement.

Answer: A
User avatar
sandman13
User avatar
Joined: 20 Apr 2018
Last visit: 26 Dec 2019
Posts: 132
Own Kudos:
304
 [1]
Given Kudos: 156
Concentration: Technology, Nonprofit
Schools: ISB '21 (A)
WE:Analyst (Non-Profit and Government)
Schools: ISB '21 (A)
Posts: 132
Kudos: 304
 [1]
In ∆ ABC above, which of the following could be a value of x? 15 May 2018, 10:53
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel please correct the answer or explain why D is the correct answer choice. Thanks.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 29 Apr 2026
Posts: 109,975
Own Kudos:
811,981
Given Kudos: 105,949
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,975
Kudos: 811,981
In ∆ ABC above, which of the following could be a value of x? 15 May 2018, 11:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sandman13
Bunuel please correct the answer or explain why D is the correct answer choice. Thanks.
Show more

The OA is A. Edited. Thank you.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,996
Own Kudos:
1,120
Posts: 38,996
Kudos: 1,120
In ∆ ABC above, which of the following could be a value of x? 15 Sep 2019, 09:55
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:
Bunuel
Math Expert
109975 posts
Krunaal
Tuck School Moderator
852 posts