GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 27 Jan 2020, 08:12

### 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

# In the figure above, what is the measure of angle ABC?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60690
In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

04 Feb 2014, 01:46
1
10
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:01) correct 13% (01:14) wrong based on 609 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

In the figure above, what is the measure of angle ABC?

(1) BX bisects angle ABY and BY bisects angle XBC.
(2) The measure of angle ABX is 40°.

Data Sufficiency
Question: 72
Category: Geometry Angles
Page: 158
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:
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!

Attachment:

Untitled.png [ 21.06 KiB | Viewed 28354 times ]

_________________
Intern
Joined: 29 Oct 2013
Posts: 14
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

04 Feb 2014, 06:27
1
1
St1) Angle ABX = Angle XBY = Angle YBC --> not sufficient
St2) AngleABX = 40 --> not sufficient

From 1 + 2, Angle ABC = 3 Angle ABX = 3 * 40 = 120 --> suff
Math Expert
Joined: 02 Sep 2009
Posts: 60690
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

04 Feb 2014, 01:46

In the figure above, what is the measure of angle ABC?

(1) BX bisects angle ABY and BY bisects angle XBC. We don't have any numerical value. Not sufficient.

(2) The measure of angle ABX is 40°. We don't have relationship between angle ABX and angle ABC. Not sufficient.

(1)+(2) When we combine the statements we have the following case:
Attachment:

Untitled.png [ 21.66 KiB | Viewed 25460 times ]
Therefore, the measure of angle ABC is 3 times 40°, so 120°. Sufficient.

Similar question to practice: what-is-the-measure-of-angle-yqz-in-the-figure-146476.html
_________________
Intern
Joined: 13 Nov 2016
Posts: 1
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

06 Jan 2017, 08:31
1
Hi why cannot we assume angle XBC as 90 degree that would help us solve the question and the answer would be B

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 60690
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

07 Jan 2017, 03:38
girishraghu91 wrote:
Hi why cannot we assume angle XBC as 90 degree that would help us solve the question and the answer would be B

Thanks

Why would you assume that angle XBC is 90 degrees? There is absolutely no indication on this.
_________________
Manager
Joined: 22 Nov 2016
Posts: 230
Location: United States (CA)
GMAT 1: 640 Q43 V35
GPA: 3.4
WE: Design (Other)
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

03 Jul 2017, 09:26
1
I like to redraw the diagram

Statement 1: From the figure you can see that this can be interpreted in many ways. Depending on how you draw the lines, $$\angle ABC$$ can take many values.........Insufficient

Stament 2: This statement tells us that $$\angle ABX$$ = $$40^{\circ}$$ No information about anything else.........Insufficient

From (1) and (2) $$\angle ABX$$ = $$40^{\circ}$$ and bisecting lines
This means $$\angle XBY$$ = $$40^{\circ}$$ and $$\angle YBC$$ = $$40^{\circ}$$ , hence $$\angle ABC$$ = $$120^{\circ}$$............Sufficient

Attachments

angles.jpg [ 12.11 KiB | Viewed 12046 times ]

Director
Joined: 02 Sep 2016
Posts: 635
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

06 Jul 2017, 12:14
All angles equal x.
Therefore the sum of the angle is 3x.

B gives the value of x.

Intern
Joined: 15 Mar 2017
Posts: 7
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

28 Apr 2018, 05:53
1
(1) BX bisects angle ABY and BY bisects angle XBC------from this we can imply that -----angle ABX = angle XBY
and angle XBY=BYC but no value for angle given. Not sufficient we are left with option BCE

(2) The measure of angle ABX is 40°.

No relation given between rest of the angles. B out we are left with C and E

1+2---

if angle ABX = 40 = angle XBY = angle BYC......angle ABC= 3*40=120
Non-Human User
Joined: 09 Sep 2013
Posts: 14006
Re: In the figure above, what is the measure of angle ABC?  [#permalink]

### Show Tags

28 Nov 2019, 09:33
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.
_________________
Re: In the figure above, what is the measure of angle ABC?   [#permalink] 28 Nov 2019, 09:33
Display posts from previous: Sort by