NEW HERE? LEARN MORE
close
It is currently 20 Mar 2023, 18:31
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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

In triangle ABC above, what is x in terms of z ?

8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88729
CAT Tests Forum Quiz Mode Top Member of the Month
In triangle ABC above, what is x in terms of z ? [#permalink] New post  16 Jan 2014, 04:52
2
Kudos
16
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

90% (01:11) correct 10% (01:47) wrong based on 1532 sessions

Hide Show timer Statistics


In triangle ABC above, what is x in terms of z ?

(A) z + 73
(B) z -73
(C) 70 - z
(B) z - 70
(E) 73 - z

Show Spoiler
Attachment:
Untitled.png
Untitled.png [ 15.2 KiB | Viewed 30779 times ]
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88729
CAT Tests Forum Quiz Mode Top Member of the Month
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  16 Jan 2014, 04:53
3
Kudos
5
Bookmarks
Expert Reply
SOLUTION


In triangle ABC above, what is x in terms of z ?

(A) z + 73
(B) z -73
(C) 70 - z
(B) z - 70
(E) 73 - z

The sum of the degree measures of the angles in a triangle equals 180°, thus we have that \(x+(37+z)+70=180\) --> \(x=73-z\).

Answer: E.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
avatar
murilomoraes
Intern
Intern
Joined: 19 Nov 2012
Status:Trying to beat the gmat
Posts: 19
Location: Brazil
Concentration: General Management, Entrepreneurship
GMAT 1: 610 Q46 V28
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  16 Jan 2014, 05:33
1
Kudos
We know that the sum of internal angles in a triangle is 180 so:
70+37+z+x = 180
Putting in terms of X we have
107-180+z=-x
-73+z=-x Multiplying all the equation for -1
73-z=x

So E is the answer
User avatar
PerfectScores
Manager
Manager
Joined: 20 Dec 2013
Posts: 99
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  16 Jan 2014, 06:11
4
Kudos
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
In triangle ABC above, what is x in terms of z ?

(A) z + 73
(B) z -73
(C) 70 - z
(B) z - 70
(E) 73 - z

Let us say z = 13 degrees.

x + 70 + 50 = 180
x = 60 degrees

By plugging in z = 13 we should get answer as 60 degrees which is answer option E.
_________________
76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views

Perfect Scores
https://perfectscores.org
https://www.youtube.com/perfectscores
Signature Read More
User avatar
nutshell
Manager
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 98
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
GMAT ToolKit User
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  17 Jan 2014, 00:15
By the theory of sum of all angles in a triangle being 180 degrees,
angle A + angle B + angle C = 180;
x + (37+z) + 70 = 180;
x + z = 180 - 107;
x + z = 73;
x = 73 - z;

Ans is (E).
avatar
B
mbaapp1234
Manager
Manager
Joined: 23 Dec 2013
Posts: 90
Location: United States (CA)
Schools: HBS '20 (D) Stanford '20 (D) Yale '21 (A$) Tuck '21 (A) Wharton '21 (A) Sloan '21 (A)
GMAT 1: 710 Q45 V41
GMAT 2: 760 Q49 V44
GPA: 3.76
Reviews Badge
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  25 May 2017, 11:48
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
In triangle ABC above, what is x in terms of z ?

(A) z + 73
(B) z -73
(C) 70 - z
(B) z - 70
(E) 73 - z

Problem Solving
Question: 44
Category: Geometry Angle measure in degrees
Page: 67
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


It's best to work until you find a supplementary relationship between the two. The unlabeled angle in the triangle with x = 180 - 37 - x or 143 -x. Meanwhile, the supplementary angle for the "z" triangle is 180 - z - 70 = 110-z

110-z + 143 - x = 180 because they are on the same line.

So 143 - x - z = 70
-x - z = -73

x = 73 - z
avatar
G
Shiv2016
Director
Director
Joined: 02 Sep 2016
Posts: 545
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  13 Nov 2017, 03:41
We can solve this question using the angle sum formula (x+37+z+70= 180) or external angle formula (180-(x+37)= z+70).
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27036
Re: In triangle ABC above, what is x in terms of z ? [#permalink] New post  11 Sep 2022, 11:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: In triangle ABC above, what is x in terms of z ? [#permalink]
11 Sep 2022, 11:52
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10541 posts
Bunuel
Math Expert
88729 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3141 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions