Last visit was: 06 Dec 2024, 01:24 It is currently 06 Dec 2024, 01:24
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 05 Dec 2024
Posts: 97,567
Own Kudos:
Given Kudos: 88,203
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,567
Kudos: 683,494
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Ravixxx
Joined: 24 Feb 2020
Last visit: 27 Aug 2024
Posts: 119
Own Kudos:
642
 [1]
Given Kudos: 118
Location: Italy
WE:Analyst (Finance: Investment Banking)
Posts: 119
Kudos: 642
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
BrentGMATPrepNow
User avatar
GMAT Club Legend
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,786
Own Kudos:
Given Kudos: 799
Location: Canada
Expert reply
Posts: 6,786
Kudos: 32,137
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMATWhizTeam
User avatar
GMATWhiz Representative
Joined: 07 May 2019
Last visit: 30 Nov 2024
Posts: 3,392
Own Kudos:
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Expert reply
GMAT 2: 760 Q51 V40
Posts: 3,392
Kudos: 1,960
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, what is the value of x ?

A. 50
B. 70
C. 80
D. 90
E. 100


PS21152

Solution


    • Let us assume that the remaining one interior angle of the quadrilateral measures y degrees, as shown in the below figure.

    • Also, we know that the sum of all the interior angles of a quadrilateral \(= 360°\)
      o \(50° + 120° + 90° + y° = 360° ⟹ y° =100°\)
    • Since, x and y are straight angles,
      o So, \(x° + y° = 180° ⟹ x° + 100° = 180° ⟹ x° = 80°\)
Thus, the correct answer is Option C.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,742
Own Kudos:
Posts: 35,742
Kudos: 925
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
97567 posts