Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
02 Sep 2020, 06:35
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:42) correct
37%
(01:42)
wrong
based on 142
sessions
History
Date
Time
Result
Not Attempted Yet
Q. (Geometry)
PS- Angles.jpg [ 6.16 KiB | Viewed 3391 times ]
w, x, y, and z are depicted as shown in the above figure. Which one of the following is always true?
A. x + y = \(180^o\)
B. w + z = \(180^o\)
C. x + y < z + w
D. x + y = z + w
E. x + y > z + w
Attachment:
PS- Angles.jpg [ 6.16 KiB | Viewed 3391 times ]
w, x, y, and z are depicted as shown in the above figure. Which one of the following is always true?
A. x + y = \(180^o\)
B. w + z = \(180^o\)
C. x + y < z + w
D. x + y = z + w
E. x + y > z + w
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 10 Aug 2026
Posts: 3,095
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
02 Sep 2020, 08:28
Kudos
Bookmarks
In Triangle EAB
Angle E = a
Angle A = 180-y
Angle B = 180-x
Angle E + Angle A + Angle B = 180
a+180-y+180-x = 180
a + 180 = Y + X -----------------------------(1)
In Triangle ECD
Angle E = a
Angle D = 180-W
Angle C = 180-Z
Angle E + Angle D + Angle C = 180
a+180-W+180-Z = 180
a + 180 = W + Z -----------------------------(2)
equating eq 1 and 2
X+Y = W+Z
Answer is D
Angle E = a
Angle A = 180-y
Angle B = 180-x
Angle E + Angle A + Angle B = 180
a+180-y+180-x = 180
a + 180 = Y + X -----------------------------(1)
In Triangle ECD
Angle E = a
Angle D = 180-W
Angle C = 180-Z
Angle E + Angle D + Angle C = 180
a+180-W+180-Z = 180
a + 180 = W + Z -----------------------------(2)
equating eq 1 and 2
X+Y = W+Z
Answer is D
Attachments
Diagram.jpeg [ 63.39 KiB | Viewed 3329 times ]
02 Sep 2020, 19:58
Kudos
Bookmarks
ABCD is a Quadrilateral and sum of the angles of a quadrilateral is always \(360^o\)
\(\angle ADC = 180 - \angle w\) (Sum of angles on a straight line = \(360^o\))
Similarly, \(\angle DCB = 180 - \angle z\) (Sum of angles on a straight line = \(360^o\))
Therefore In quadrilateral ABCD, y + x + (180 - w) + (180 - z) = 360
y + x - w - z + 360 = 360
Therefore, y + x = w + z
Option D
Arun Kumar
\(\angle ADC = 180 - \angle w\) (Sum of angles on a straight line = \(360^o\))
Similarly, \(\angle DCB = 180 - \angle z\) (Sum of angles on a straight line = \(360^o\))
Therefore In quadrilateral ABCD, y + x + (180 - w) + (180 - z) = 360
y + x - w - z + 360 = 360
Therefore, y + x = w + z
Option D
Arun Kumar
