GMAT Club Forum :: The measure of angle MKL is how many degrees greater than the measure : Data Sufficiency (DS)

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DS geom.png

kendrikFROMkenya wrote:

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DS geom.png

Statement I
Triangle MJK is equilateral.
So \(\Angle{MKJ}=\angle{MJK}=60\), and angle MKJ+MKL=180....MKL=180-60=120..
Answer 120-60=60
Sufficient
Statement II
The Sum of the measure of MKJ and MJK is 120.
This basically means MKJ is an equilateral triangle. Hence answer is 60 as shown in statement I

D

chetan2u wrote:

kendrikFROMkenya wrote:

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Attachment:

DS geom.png

Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise,

\(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\)
OR
\(\angle{MJK}=30\) and \(\angle{MKJ}=90\)

Many possibilities exists hence statement II is not sufficient.

Should not the answer be A. chetan2u Can you help me understand if am correct.

lnm87 wrote:

Hi,
lnm87, I have just added a bit of explanation why statement II is also sufficient.
PLease revert if any problem.

solution not correct. now I am skeptical of my verbal prep on gmat club.

chetan2u wrote:

kendrikFROMkenya wrote:

Show Spoiler

Attachment:

DS geom.png

You cant assume the two angles are equal based on statement (2).

Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise,

\(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\)
OR
\(\angle{MJK}=30\) and \(\angle{MKJ}=90\)

Many possibilities exists hence statement II is not sufficient.

Should not the answer be A. chetan2u Can you help me understand if am correct.

Author:	kendrikFROMkenya [ 20 Nov 2019, 08:21 ]
Post subject:	The measure of angle MKL is how many degrees greater than the measure
Show Spoiler Attachment: File comment: Question DS geom.png [ 36.02 KiB \| Viewed 2759 times ]

Author:	chetan2u [ 20 Nov 2019, 20:03 ]
Post subject:	The measure of angle MKL is how many degrees greater than the measure
kendrikFROMkenya wrote: Show Spoiler Attachment: DS geom.png Statement I Triangle MJK is equilateral. So \(\angle{MKJ}=\angle{MJK}=60\), and angle MKJ+MKL=180....MKL=180-60=120.. Answer 120-60=60 Sufficient Statement II The Sum of the measure of MKJ and MJK is 120. Now \(\angle{MKL} = 180-\angle{MKJ}\), and \(\angle{MKJ}+\angle{MJK}=120\)......\(\angle{MKJ}=120-\angle{MJK}\).. \(\angle{MKL} = 180-\angle{MKJ}=180-(120-\angle{MJK})=60+\angle{MJK}..........\angle{MKL} -\angle{MJK}=60\) D

Author:	unraveled [ 20 Nov 2019, 21:55 ]
Post subject:	The measure of angle MKL is how many degrees greater than the measure
chetan2u wrote: kendrikFROMkenya wrote: Show Spoiler Attachment: DS geom.png Statement I Triangle MJK is equilateral. So \(\Angle{MKJ}=\angle{MJK}=60\), and angle MKJ+MKL=180....MKL=180-60=120.. Answer 120-60=60 Sufficient Statement II The Sum of the measure of MKJ and MJK is 120. This basically means MKJ is an equilateral triangle. Hence answer is 60 as shown in statement I D Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise, \(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\) OR \(\angle{MJK}=30\) and \(\angle{MKJ}=90\) Many possibilities exists hence statement II is not sufficient. Should not the answer be A. chetan2u Can you help me understand if am correct.

Author:	chetan2u [ 20 Nov 2019, 22:06 ]
Post subject:	The measure of angle MKL is how many degrees greater than the measure
lnm87 wrote: chetan2u wrote: kendrikFROMkenya wrote: Show Spoiler Attachment: DS geom.png Statement I Triangle MJK is equilateral. So \(\Angle{MKJ}=\angle{MJK}=60\), and angle MKJ+MKL=180....MKL=180-60=120.. Answer 120-60=60 Sufficient Statement II The Sum of the measure of MKJ and MJK is 120. This basically means MKJ is an equilateral triangle. Hence answer is 60 as shown in statement I D Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise, \(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\) OR \(\angle{MJK}=30\) and \(\angle{MKJ}=90\) Many possibilities exists hence statement II is not sufficient. Should not the answer be A. chetan2u Can you help me understand if am correct. Hi, lnm87, I have just added a bit of explanation in my earlier post on why statement II is also sufficient.

Author:	pllktyl [ 20 Nov 2019, 22:12 ]
Post subject:	Re: The measure of angle MKL is how many degrees greater than the measure
solution not correct. now I am skeptical of my verbal prep on gmat club.

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Author:	unraveled [ 20 Nov 2019, 22:24 ]
Post subject:	Re: The measure of angle MKL is how many degrees greater than the measure
chetan2u wrote: lnm87 wrote: Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise, \(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\) OR \(\angle{MJK}=30\) and \(\angle{MKJ}=90\) Many possibilities exists hence statement II is not sufficient. Should not the answer be A. chetan2u Can you help me understand if am correct. Hi, lnm87, I have just added a bit of explanation why statement II is also sufficient. PLease revert if any problem. My bad. I actually inferred wrongly. I thought that variations in angles(MJK or MKJ) would invalidate the statement II as sufficient but actually forgot that points M and J would act as hinges to direct other angles. Sorry to bother you for such pity queries. Thanks

Author:	chetan2u [ 21 Nov 2019, 00:05 ]
Post subject:	Re: The measure of angle MKL is how many degrees greater than the measure
pllktyl wrote: solution not correct. now I am skeptical of my verbal prep on gmat club. Firstly, this question has hardly anything to do with verbal prep. It is simply addition of angles of the triangle, so why would someone get verbal prep into it! Secondly, why is the solution incorrect? Would request you to be more specific, so that everyone can benefit.

Author:	kendrikFROMkenya [ 21 Nov 2019, 07:49 ]
Post subject:	Re: The measure of angle MKL is how many degrees greater than the measure
lnm87 wrote: chetan2u wrote: kendrikFROMkenya wrote: Show Spoiler Attachment: DS geom.png Statement I Triangle MJK is equilateral. So \(\Angle{MKJ}=\angle{MJK}=60\), and angle MKJ+MKL=180....MKL=180-60=120.. Answer 120-60=60 Sufficient Statement II The Sum of the measure of MKJ and MJK is 120. This basically means MKJ is an equilateral triangle. Hence answer is 60 as shown in statement I D You cant assume the two angles are equal based on statement (2). Nowhere it is mentioned that MJ = MK, a prerequisite so that \(\angle{MKJ}=\angle{MJK}=60\) and Statement II be sufficient. Otherwise, \(\angle{MKJ}+\angle{MJK}=120\) when \(\angle{MJK}=50\) and \(\angle{MKJ}=70\) OR \(\angle{MJK}=30\) and \(\angle{MKJ}=90\) Many possibilities exists hence statement II is not sufficient. Should not the answer be A. chetan2u Can you help me understand if am correct.

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Post subject:	Re: The measure of angle MKL is how many degrees greater than the measure
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