It is currently 26 Jun 2017, 20:47

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is the measure of one of the interior angles of quadrilateral ABCD

Author Message
TAGS:

### Hide Tags

Manager
Joined: 21 Mar 2007
Posts: 73
Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

30 May 2008, 06:21
1
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:39) correct 48% (01:13) wrong based on 115 sessions

### HideShow timer Statistics

Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles.
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-measure-of-one-of-the-interior-angles-of-127226.html

[Reveal] Spoiler:
The answer is E, but I dont see how it isnt C

The sum of the interior angles in a quadrilateral would be 360; this is derived from the equation (4-2)(180).
If two angles are right angles (90 degrees each) that leaves 180 for the other two angles. If one angle is double the other that leaves 60 and 120 (60 + 120 = 180).
[Reveal] Spoiler: OA
SVP
Joined: 30 Apr 2008
Posts: 1874
Location: Oklahoma City
Schools: Hard Knocks
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

30 May 2008, 08:19
Each of these statements is giving you 2 of the 4 angles. With statement 1, you know that with 2 angles, the sum is 180, leaving you with 180 left for the other 2 angles. Nothing in the statement gives an indication as to the measure of either of those angles.

Statement 2 also only gives you 2 angles. You know that ABC is twice the measure of BCD. So it could be anything like ABC = 1 degree, BCD = 2, or any combination that keeps the ratio of 1:2. If it was 90:180, that leaves 360 - 270, or 90 degrees for the other 2 angles. It could be 30, 60, or 29, 61. We don't know enough.

The reason C is not correct is that Statement 1 doesn't tell us which angles are each 90 degrees. We have to be able to identify 3 of the 4 angles to know if 60 degrees is left for at least 1 of the angles as the question asks.

japped187 wrote:
Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

The answer is E, but I dont see how it isnt C

The sum of the interior angles in a quadrilateral would be 360; this is derived from the equation (4-2)(180).
If two angles are right angles (90 degrees each) that leaves 180 for the other two angles. If one angle is double the other that leaves 60 and 120 (60 + 120 = 180).

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a.

GMAT Club Premium Membership - big benefits and savings

Director
Joined: 10 Sep 2007
Posts: 938
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

30 May 2008, 08:25
What if one angle is 45 degrees, which is double of 90 degrees? You are not given that it is only remaining two angles other than right angles which are fulfilling the statement 2.
Manager
Joined: 28 May 2008
Posts: 94
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

30 May 2008, 08:35
abhijit_sen wrote:
What if one angle is 45 degrees, which is double of 90 degrees? You are not given that it is only remaining two angles other than right angles which are fulfilling the statement 2.

Yes. That is correct.
The question only says ABC=2BCD.
What if angle ABC is one of the right angles.
The question doesn't mention and we can't assume.
Hence, E

Cheers !
Manager
Joined: 04 Sep 2010
Posts: 74
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

04 Jun 2011, 11:50
It is good trap question, I chose somehow that other two are 90 and 90 which automatically meant the required angle is 60

While I should have considered any angle could be 90 and other could be 45 etc..

Intern
Joined: 15 Apr 2011
Posts: 32
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

04 Jun 2011, 19:40
Trapped ! Went for C but then got the correct explanations !
Manager
Joined: 05 Jul 2010
Posts: 193
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

05 Jun 2011, 17:24
E, Good question. Need to be careful.
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1326
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

06 Jun 2011, 00:21
1
KUDOS
angles can be 90,90,60 and 120 or 90,45,90,and 135.

Hence E.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15989
Re: Is the measure of one of the interior angles of quadrilateral ABCD [#permalink]

### Show Tags

25 Aug 2015, 12:00
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: Is the measure of one of the interior angles of [#permalink]

### Show Tags

25 Aug 2015, 23:48
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
Is the measure of one of the interior angles of quadrilateral ABCD equal to 60?

Sum of inner angels of quadrilateral is 360 degrees. (Sum of inner angles of polygon=180*(n-2), where n is # of sides)

(1) Two of the interior angles of ABCD are right angles --> angles can be 90+90 + any combination of two angels totaling 180. Not sufficient.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD --> <ABC=2<BCD. Not sufficient

(1)+(2) Angles can be 90+90+45+135 Or 90+90+60+120. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-measure-of-one-of-the-interior-angles-of-127226.html
_________________
Re: Is the measure of one of the interior angles of   [#permalink] 25 Aug 2015, 23:48
Similar topics Replies Last post
Similar
Topics:
What is the measure, in degrees, of angle BCA in quadrilateral ABCD? 8 12 Dec 2016, 13:45
2 In quadrilateral ABCD, what is the value of angle ADC? 1 13 Dec 2014, 16:53
33 Is the measure of one of the interior angles of 16 18 Feb 2017, 03:25
Is the measure of one of the interior angles of a cyclic 5 02 Jun 2010, 16:37
23 Is the measure of one of the interior angles of quadrilatera 17 29 Aug 2016, 13:54
Display posts from previous: Sort by