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

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

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04 Feb 2014, 01:46
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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Untitled.png [ 21.06 KiB | Viewed 13023 times ]
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

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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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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 12833 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
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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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04 Feb 2014, 06:27
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KUDOS
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: 39595
Re: In the figure above, what is the measure of angle ABC? [#permalink]

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08 Feb 2014, 05:28

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:

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
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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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10 Jun 2015, 11:50
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).

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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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24 Jul 2016, 04:29
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.
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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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06 Jan 2017, 08:31
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
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Re: In the figure above, what is the measure of angle ABC? [#permalink]

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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.
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Re: In the figure above, what is the measure of angle ABC?   [#permalink] 07 Jan 2017, 03:38
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