Last visit was: 02 May 2026, 22:22 It is currently 02 May 2026, 22:22
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 02 May 2026
Posts: 110,017
Own Kudos:
812,543
 [8]
Given Kudos: 105,989
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: 110,017
Kudos: 812,543
 [8]
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 10 Jan 2019, 02:39
2
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

55% (01:45) correct 45% (01:28) wrong based on 139 sessions

History

Date
Time
Result
Not Attempted Yet

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Show Spoiler
Attachment:
2019-01-10_1338.png
2019-01-10_1338.png [ 19.89 KiB | Viewed 5032 times ]
ShowHide Answer
Official Answer
D
avatar
carajatarora
avatar
Joined: 10 Feb 2018
Last visit: 26 Mar 2026
Posts: 30
Own Kudos:
6
Given Kudos: 144
Location: India
Schools: Darden '22 (S) Kelley '24 Kellogg '24 LBS '24 Marshall '24 Ross '24 Tepper '24
GMAT 1: 710 Q49 V42
GPA: 4
Products:
My Reviews
Schools: Darden '22 (S) Kelley '24 Kellogg '24 LBS '24 Marshall '24 Ross '24 Tepper '24
GMAT 1: 710 Q49 V42
Posts: 30
Kudos: 6
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 10 Jan 2019, 02:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
My Answer is A 90"

The sum of exterior angles of a triangle is 360-Sum of angles of 3 rectangles ie 270
Would give us resulting measure of 90.

Official answer please!!

Please explain if my answer is incorrect
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 02 May 2026
Posts: 8,636
Own Kudos:
5,193
 [3]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,636
Kudos: 5,193
 [3]
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum Updated on: 11 Jan 2019, 02:32
Originally posted by Archit3110 on 10 Jan 2019, 06:58.
Last edited by Archit3110 on 11 Jan 2019, 02:32, edited 2 times in total.
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Show Spoiler
Attachment:
2019-01-10_1338.png
Show more

total sum of all three sides ; 360*3 = 1080
and for one side we have two sides of rectangle + 1 angle of triangle +1 external angle
2*90+angle a + ext a
total
3*2*90 + 180+ ext a+ext b+ext c = 1080
ext a+ext b+ext c= 360
IMO D
avatar
CAtluri
avatar
Joined: 15 Dec 2018
Last visit: 18 Nov 2019
Posts: 16
Own Kudos:
5
Given Kudos: 105
Location: India
Schools: IIMA PGPX"20 IIMA PGPX "21 (A)
GMAT 1: 650 Q45 V35
GPA: 3.5
Schools: IIMA PGPX"20 IIMA PGPX "21 (A)
GMAT 1: 650 Q45 V35
Posts: 16
Kudos: 5
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 10 Jan 2019, 07:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO E

At first glance, you might finalize 180 but C and D vertices are differently aligned.

Posted from my mobile device
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 02 May 2026
Posts: 11,238
Own Kudos:
45,079
 [2]
Given Kudos: 336
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 45,079
 [2]
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 11 Jan 2019, 01:55
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
Bunuel

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Show Spoiler
Attachment:
2019-01-10_1338.png

chetan2u :
Hi could you please review the question and suggest the solution..
Show more

Hi..

Each vertice will make 360 when in a complete circle.
Now each vertice consists of two angles of rectangle, one angle at the exterior, say \(E_A\)and one angle of triangle, say A . So 2*90 +A+\(E_A\)

When we add all three vertices for the same .. we have 3*(2*90)+\(E_A+E_B+E_C\)+A+B+C..
We are looking for \(E_A+E_B+E_C\) and A+B+C =180

So 3*(2*90)+\(E_A+E_B+E_C\)+180=3*360...540+180+\(E_A+E_B+E_C\)=1080...
\(E_A+E_B+E_C\)=1080-540-180=360

D
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 02 May 2026
Posts: 8,636
Own Kudos:
5,193
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,636
Kudos: 5,193
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 11 Jan 2019, 02:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u

thank you

chetan2u
Archit3110
Bunuel

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Show Spoiler
Attachment:
2019-01-10_1338.png

chetan2u :
Hi could you please review the question and suggest the solution..

Hi..

Each vertice will make 360 when in a complete circle.
Now each vertice consists of two angles of rectangle, one angle at the exterior, say \(E_A\)and one angle of triangle, say A . So 2*90 +A+\(E_A\)

When we add all three vertices for the same .. we have 3*(2*90)+\(E_A+E_B+E_C\)+A+B+C..
We are looking for \(E_A+E_B+E_C\) and A+B+C =180

So 3*(2*90)+\(E_A+E_B+E_C\)+180=3*360...540+180+\(E_A+E_B+E_C\)=1080...
\(E_A+E_B+E_C\)=1080-540-180=360

D
Show more
User avatar
GMATGuruNY
User avatar
Joined: 04 Aug 2010
Last visit: 02 Apr 2026
Posts: 1,347
Own Kudos:
3,911
 [2]
Given Kudos: 9
Schools:Dartmouth College
Expert
Expert reply
Posts: 1,347
Kudos: 3,911
 [2]
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 09 Feb 2021, 14:01
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The four angles formed at each vertex of the triangle must sum to 360.

Case 1:
In the figure below, the sum of the angles marked at A, B and C = 120+120+120 = 360
Attachment:
angles A B and C_2.png
angles A B and C_2.png [ 175.29 KiB | Viewed 3505 times ]

Case 2:
In the figure below, the sum of the angles marked at A, B and C = 100+120+140 = 360
Attachment:
angles A B and C_1.png
angles A B and C_1.png [ 175.31 KiB | Viewed 3504 times ]

Each case yields the same sum: 360

Show Spoiler
D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,008
Own Kudos:
1,122
Posts: 39,008
Kudos: 1,122
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum 03 Jan 2024, 02:11
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
110017 posts
Krunaal
Tuck School Moderator
852 posts