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

 It is currently 14 Dec 2019, 21:34

### 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

# Which one of the following relations is true regarding the angles of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59725
Which one of the following relations is true regarding the angles of  [#permalink]

### Show Tags

03 Apr 2019, 23:06
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:47) correct 28% (02:17) wrong based on 39 sessions

### HideShow timer Statistics

Which one of the following relations is true regarding the angles of the quadrilateral shown in figure?

(A) $$∠A = ∠C$$

(B) $$∠B > ∠D$$

(C) $$∠A < ∠C$$

(D) $$∠B = ∠D$$

(E) $$∠A = ∠B$$

Attachment:

#GREpracticequestion Which one of the following relations .jpg [ 20.04 KiB | Viewed 599 times ]

_________________
Manager
Joined: 29 Dec 2018
Posts: 60
Location: India
Schools: HBS '22, Wharton '22
Which one of the following relations is true regarding the angles of  [#permalink]

### Show Tags

06 Apr 2019, 00:41
5
Beautiful question.

I would like to take this up.

Firstly, let’s join AC.

Now, In triangle ABC,
Side BC > Side AB
Thus, Angle CAB > angle BCA ...........(1)

——Cause Angle opposite to a larger side is larger.——

Thus, Angle CAD > angle ACD ..........(2)

From (1) & (2)
Angle CAB + Angle CAD > angle BCA + angle ACD
i.e. Angle A > Angle C

Following the same logic, we construct BD and prove that
Angle B > angle D.

Hence, option B is the correct answer.

Posted from my mobile device
##### General Discussion
Intern
Joined: 19 Jan 2017
Posts: 30
Location: India
Schools: IIM
GMAT 1: 530 Q48 V15
Re: Which one of the following relations is true regarding the angles of  [#permalink]

### Show Tags

04 Apr 2019, 12:31
The image is of quadrilateral which has two lines parallel to each other.

Option A, D and E are completely irrelevant coz there is no relation that those angles can be equal.

In between option B and C, B can be logically correct.

Posted from my mobile device
Director
Joined: 27 May 2012
Posts: 947
Which one of the following relations is true regarding the angles of  [#permalink]

### Show Tags

05 Apr 2019, 12:55
smita123 wrote:
The image is of quadrilateral which has two lines parallel to each other.

Option A, D and E are completely irrelevant coz there is no relation that those angles can be equal.

In between option B and C, B can be logically correct.

Posted from my mobile device

Hi smita123,
Can you clarify, which two lines are you considering parallel to one another and how?
_________________
- Stne
Intern
Joined: 19 Jan 2017
Posts: 30
Location: India
Schools: IIM
GMAT 1: 530 Q48 V15
Re: Which one of the following relations is true regarding the angles of  [#permalink]

### Show Tags

06 Apr 2019, 00:14
Sorry, i did wrong interpretation. Thanks for pointing out.

Well i dont know the explanation then.

Can anyone explain why B is right?

Posted from my mobile device
Re: Which one of the following relations is true regarding the angles of   [#permalink] 06 Apr 2019, 00:14
Display posts from previous: Sort by