Last visit was: 20 May 2026, 10:08 It is currently 20 May 2026, 10:08
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
655-705 (Hard)|   Geometry|      
User avatar
fskilnik
User avatar
Joined: 12 Oct 2010
Last visit: 03 Jan 2025
Posts: 883
Own Kudos:
1,905
Given Kudos: 57
Status:GMATH founder
Expert
Expert reply
Posts: 883
Kudos: 1,905
In the figure shown, all angles are measured in degrees. What is the v 07 Mar 2019, 06:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

59% (02:17) correct 41% (01:50) wrong based on 34 sessions

History

Date
Time
Result
Not Attempted Yet
GMATH practice exercise (Quant Class 1)



In the figure shown, all angles are measured in degrees. What is the value of k?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 27
ShowHide Answer
Official Answer
B
avatar
thyagi
avatar
Joined: 19 Jan 2019
Last visit: 28 Dec 2020
Posts: 80
Own Kudos:
64
Given Kudos: 8
GMAT 1: 650 Q49 V30
GMAT 1: 650 Q49 V30
Posts: 80
Kudos: 64
In the figure shown, all angles are measured in degrees. What is the v 07 Mar 2019, 07:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
There's a 5-sided polygon...
90+90+5k+6k+180-2k = 540 ( 180(n-2))
360+9k = 540
9k = 180
K= 20

Posted from my mobile device
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 19 May 2026
Posts: 7,034
Own Kudos:
17,010
 [2]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 7,034
Kudos: 17,010
 [2]
In the figure shown, all angles are measured in degrees. What is the v 07 Mar 2019, 07:13
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fskilnik
GMATH practice exercise (Quant Class 1)



In the figure shown, all angles are measured in degrees. What is the value of k?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 27
Show more

The answer os explained in attached file

Answer: Option E
Attachments

File comment: www.GMATinsight.com
Screenshot 2019-03-07 at 7.42.25 PM.png
Screenshot 2019-03-07 at 7.42.25 PM.png [ 525.95 KiB | Viewed 1888 times ]

User avatar
fskilnik
User avatar
Joined: 12 Oct 2010
Last visit: 03 Jan 2025
Posts: 883
Own Kudos:
1,905
Given Kudos: 57
Status:GMATH founder
Expert
Expert reply
Posts: 883
Kudos: 1,905
In the figure shown, all angles are measured in degrees. What is the v 07 Mar 2019, 08:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thank you both for your contributions!

I guess this (good!) solution was motivated by the two given right angles...

Could someone provide an alternate solution, without taking these right angles into account?

I mean: if m and n are parallel and all angles are measured in degrees, what is the value of k?



(Please do not create the "distance between the parallels" line used before... I want ANOTHER solution, based on triangles and parallelism, only...)

I will give a kudos for the first correct one provided!

Regards,
Fabio.
User avatar
fskilnik
User avatar
Joined: 12 Oct 2010
Last visit: 03 Jan 2025
Posts: 883
Own Kudos:
1,905
Given Kudos: 57
Status:GMATH founder
Expert
Expert reply
Posts: 883
Kudos: 1,905
In the figure shown, all angles are measured in degrees. What is the v 07 Mar 2019, 10:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The original problem was successfully solved in previous posts.

We will present below the "alternate version" with one possible solution!

fskilnik
GMATH practice exercise (Quant Class 1)



In the figure shown, if lines m and n are parallel and all angles are measured in degrees, what is the value of k?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 27
Show more




\(? = k\,\,\,\left[ {{\rm{degrees}}} \right]\)

\(\left( {5k\,\,{\rm{is}}\,\,{\rm{exterior}}\,\,{\rm{angle}}\,{\rm{for}}\,\,\Delta } \right)\,\,\,:\,\,\,\,5k = \left( {180 - 6k} \right) + \left( {k + k} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,9k = 180\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left( {\rm{B}} \right)\)


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio
Moderators:
Bunuel
Math Expert
110731 posts
Krunaal
Tuck School Moderator
852 posts