Last visit was: 14 Oct 2026, 03:17 It is currently 14 Oct 2026, 03:17
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Arun1992
Intern
Intern
Joined: 06 Oct 2018
Posts: 6
Own Kudos [?]: 32 [10]
Given Kudos: 0
Send PM
Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   Updated on: 03 Dec 2018, 15:32
1
9
Bookmarks
00:00

Question Stats:

65% (02:39) correct 34% (02:21) wrong based on 125 sessions

Hide Show timer Statistics

Image
∠BAD = y°, ∠BAC = z°, ∠ABC = x°, and ∠ACB = w°


Quantity A
Quantity B
x + w
y + z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
ShowHide Answer
Official Answer
D

Originally posted by Arun1992 on 03 Dec 2018, 04:39.
Last edited by GreenlightTestPrep on 03 Dec 2018, 15:32, edited 10 times in total.
Edited by Carcass
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36308
Own Kudos [?]: 43622 [0]
Given Kudos: 27306
Send PM
Re: Given Angle BAD = y, Angle BAC = Z [#permalink] New post   03 Dec 2018, 11:22
Expert Reply
No, mainly because we do have all the questions explained here https://gre.myprepclub.com/forum/official- ... html#p3207

And I didn't see this question before.

Regards
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12850 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Given Angle BAD = y, Angle BAC = Z [#permalink] New post   03 Dec 2018, 11:29
Carcass wrote:
No, mainly because we do have all the questions explained here https://gre.myprepclub.com/forum/official- ... html#p3207

And I didn't see this question before.

Regards


That too :-)

It's a great question either way!
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36308
Own Kudos [?]: 43622 [0]
Given Kudos: 27306
Send PM
Re: Given Angle BAD = y, Angle BAC = Z [#permalink] New post   03 Dec 2018, 11:43
Expert Reply
Sir,

please give us some explanation to this question, if you can. Meanwhile, I will edit the main post.

Thank you so much.

Regards
avatar
kruttikaaggarwal
Manager
Manager
Joined: 27 Feb 2017
Posts: 188
Own Kudos [?]: 159 [0]
Given Kudos: 0
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   03 Dec 2018, 12:43
The answer is A right? Sum of two angles in a triangle is greater than the third angle
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12850 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   03 Dec 2018, 15:32
2
Arun1992 wrote:
Image
∠BAD = y°, ∠BAC = z°, ∠ABC = x°, and ∠ACB = w°


Quantity A
Quantity B
x + w
y + z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given


Let's test some possible values (angles)

Case i:
Image
In the above case, y = 70, z = 110, x = 40 and w = 30
So, we get:
QUANTITY A: x + w = 40 + 30 = 70
QUANTITY B: y + z = 70 + 110 = 180
In this case, Quantity B is greater


Case ii:
Image
In the above case, y = 40, z = 50, x = 70 and w = 60
So, we get:
QUANTITY A: x + w = 70 + 60 = 130
QUANTITY B: y + z = 40 + 50 = 90
In this case, Quantity A is greater

Answer: D

Cheers,
Brent
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12850 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   03 Dec 2018, 15:34
kruttikaaggarwal wrote:
The answer is A right? Sum of two angles in a triangle is greater than the third angle


Great idea but, unfortunately, that's not a rule.
I believe you're taking the rule regarding side LENGTHS in a triangle and extending it to work with ANGLES (which doesn't work).

Cheers,
Brent
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12850 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Given Angle BAD = y, Angle BAC = Z [#permalink] New post   03 Dec 2018, 15:35
1
Carcass wrote:
Sir,

please give us some explanation to this question, if you can. Meanwhile, I will edit the main post.

Thank you so much.

Regards


Done!
avatar
Arun1992
Intern
Intern
Joined: 06 Oct 2018
Posts: 6
Own Kudos [?]: 32 [0]
Given Kudos: 0
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   03 Dec 2018, 22:24
GreenlightTestPrep wrote:
Arun1992 wrote:
∠BAD = y°, ∠BAC = z°, ∠ABC = x°, and ∠ACB = w°


Quantity A
Quantity B
x + w
y + z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given


Let's test some possible values (angles)

In the above case, y = 70, z = 110, x = 40 and w = 30
So, we get:
QUANTITY A: x + w = 40 + 30 = 70
QUANTITY B: y + z = 70 + 110 = 180
In this case, Quantity B is greater


In the above case, y = 40, z = 50, x = 70 and w = 60
So, we get:
QUANTITY A: x + w = 70 + 60 = 130
QUANTITY B: y + z = 40 + 50 = 90
In this case, Quantity A is greater

Answer: D

Cheers,
Brent



Hi @GreenlightTestPrep

Thanks a lot for ur explanation.
But can u tell me how did u pick the correct angles to check. Is there any logic behind it ?
User avatar
HappyMathtutor
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 152 [0]
Given Kudos: 0
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   17 Dec 2018, 20:25
Expert Reply
Just think about this, since we don't have ANY number associated with any of the angles, it's a total crapshoot.
for all we know, it could be a scalene triangle, where x and w are 10 degrees each while y and z total to 160, or the complete opposite.
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 141 [0]
Given Kudos: 0
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   11 Jan 2019, 16:43
I just think in diagram
case1 (Not quantity): angle A= 179.999999
case2 (Not quantity): angle B= 179.999999

D
avatar
B
sujayhegde
Intern
Intern
Joined: 25 Oct 2021
Posts: 15
Own Kudos [?]: 15 [1]
Given Kudos: 35
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   01 Aug 2022, 07:05
1
Case 1 - maximize x and y
Let x =89.9° and y=89.9°
Quantity B is now very small.

Case 2 - maximize y and z
y =179.9°
Now Quantity A is very small

So, D
avatar
B
mrunal2148
Intern
Intern
Joined: 11 Sep 2023
Posts: 43
Own Kudos [?]: 25 [1]
Given Kudos: 5
GRE 1: Q155 V141
Send PM
Reviews Badge
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   05 Oct 2023, 18:19
1
Let the third angles in both the triangles be a and b.
a+b=180
z+w+a=180
y+x+b=180

b=180-x-y
a=180-z-w

a+b = 180-x-y+180-z-w
180=360-(x+y+z+w)
Simplifying,
x+y+z+w=180

Hence, x+y=180-(z+w) or vice versa. Hence D
avatar
B
tkorzhan
Intern
Intern
Joined: 21 Oct 2024
Posts: 48
Own Kudos [?]: 2 [0]
Given Kudos: 1
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   26 Oct 2024, 10:03
Carcass, and Arun1992, where can I find problems of the same type?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36308
Own Kudos [?]: 43622 [0]
Given Kudos: 27306
Send PM
Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   26 Oct 2024, 10:21
Expert Reply
tkorzhan wrote:
Carcass, and Arun1992, where can I find problems of the same type?



here GRE PREMIUM Quant Question Banks - Topic-Wise 2700 Questions under geometry https://gre.myprepclub.com/forum/gre-pr ... ml#p116140

or via tags https://gre.myprepclub.com/forum/search ... earch_tags
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36308
Own Kudos [?]: 43622 [0]
Given Kudos: 27306
Send PM
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink] New post   26 Oct 2024, 10:22
Expert Reply
ask if you need further assistance
Prep Club for GRE Bot
gmatclubot
Re: Angle BAD = y, Angle BAC = z, Angle ABC = x, and Angle ACB [#permalink]
26 Oct 2024, 10:22
Moderators:
adewale223
GRE Instructor
167 posts
bronaugust
GRE Forum Moderator
37 posts
VibhuAnurag
GRE Instructor
275 posts
Nsp10
Moderator
45 posts
tyrant100
GRE Forum Moderator
144 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact | Advertise