Last visit was: 16 Nov 2024, 09:55 It is currently 16 Nov 2024, 09:55

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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29962
Own Kudos [?]: 36246 [1]
Given Kudos: 25911
Send PM
User avatar
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 144 [0]
Given Kudos: 0
Send PM
avatar
Supreme Moderator
Joined: 01 Nov 2017
Posts: 371
Own Kudos [?]: 470 [1]
Given Kudos: 0
Send PM
avatar
Manager
Manager
Joined: 22 Jul 2018
Posts: 80
Own Kudos [?]: 105 [0]
Given Kudos: 0
Send PM
Re: XY = YZ [#permalink]
C
avatar
Manager
Manager
Joined: 22 Feb 2018
Posts: 163
Own Kudos [?]: 214 [0]
Given Kudos: 0
Send PM
Re: XY = YZ [#permalink]
1
Answer: C
XY = YZ so the X and Z_left angles of the triangle are equal.


Z_left + Z_right = 180
Z_right = 180 - Z_left (We have X = Z_left, So: Z_right = 180 - X = m)


And We have: Y + X + Z_left = 180 in XYZ (As X and Z_left are equal, we have: 2X + q = 180

Now we have: 180 - X = m and 2X + q = 180
q = 180 - 2X (X = 180 -m):
q = 180 -2(180-m) = 2m - 180


So A and B are equal
avatar
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 133 [0]
Given Kudos: 0
Send PM
Re: XY = YZ [#permalink]
chetan2u wrote:

Look at the attached figure..
Angle XYZ=XZY=180-m.. so q=180-(180-m+180-m)=180-(360-2m)=2m-180..
Thus A=B

C


How does it possible?
avatar
Intern
Intern
Joined: 29 Sep 2022
Posts: 19
Own Kudos [?]: 2 [0]
Given Kudos: 50
Send PM
Re: XY = YZ [#permalink]
Can anyone give another approach or easier way to solve the question.
Verbal Expert
Joined: 18 Apr 2015
Posts: 29962
Own Kudos [?]: 36246 [0]
Given Kudos: 25911
Send PM
Re: XY = YZ [#permalink]
Expert Reply
There is not another approach

m is an external angle. With just basic theory of alternative angles the question is pretty easy

here more https://gre.myprepclub.com/forum/gre-ge ... tml#p82034
Prep Club for GRE Bot
Re: XY = YZ [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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