GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 06:03 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

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.  In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure

Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 55668
In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure  [#permalink]

Show Tags

1
1 00:00

Difficulty:   25% (medium)

Question Stats: 69% (00:41) correct 31% (01:17) wrong based on 41 sessions

HideShow timer Statistics

In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure of ∠D?

A. 90
B. 120
C. 135
D. 270
E. It cannot be determined from the information given.

_________________
Manager  G
Joined: 02 Aug 2015
Posts: 155
Re: In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure  [#permalink]

Show Tags

Bunuel wrote:
In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure of ∠D?

A. 90
B. 120
C. 135
D. 270
E. It cannot be determined from the information given.

In a quadrilateral, sum of all angles is equal to 360.

∠A +∠B + ∠C +∠D = 360.
Given ∠A +∠B + ∠C = 2∠D
So 3∠D = 360
∠D = 120.

Hence B.

Cheers!
CEO  P
Joined: 18 Aug 2017
Posts: 3879
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure  [#permalink]

Show Tags

Bunuel wrote:
In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure of ∠D?

A. 90
B. 120
C. 135
D. 270
E. It cannot be determined from the information given.

a+b+c+d= 360
2d=360
d=120
IMO B
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager  B
Joined: 18 Oct 2018
Posts: 83
Location: India
GPA: 4
Re: In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure  [#permalink]

Show Tags

In a quadrilateral, sum of all angles is equal to 360.

∠A +∠B + ∠C +∠D = 360.
Given ∠A +∠B + ∠C = 2∠D
So 3∠D = 360
∠D = 120.

Hence B. Re: In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure   [#permalink] 11 Jan 2019, 12:14
Display posts from previous: Sort by

In quadrilateral ABCD, ∠A +∠B + ∠C = 2∠D. What is the degree measure  