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655-705 (Hard)|   Geometry|      
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kendrikFROMkenya
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The measure of angle MKL is how many degrees greater than the measure Updated on: 20 Nov 2019, 08:46
Originally posted by kendrikFROMkenya on 20 Nov 2019, 08:21.
Last edited by Bunuel on 20 Nov 2019, 08:46, edited 1 time in total.
Renamed the topic and edited the question.
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65% (hard)

Question Stats:

48% (01:51) correct 52% (01:40) wrong based on 96 sessions

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chetan2u
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The measure of angle MKL is how many degrees greater than the measure 20 Nov 2019, 20:03
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kendrikFROMkenya


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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 \(\angle{MKJ}+\angle{MJK}=120\)......\(\angle{MKJ}=120-\angle{MJK}\)..
\(\angle{MKL} = 180-\angle{MKJ}=180-(120-\angle{MJK})=60+\angle{MJK}..........\angle{MKL} -\angle{MJK}=60\)


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The measure of angle MKL is how many degrees greater than the measure 20 Nov 2019, 21:55
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kendrikFROMkenya


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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
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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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chetan2u
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The measure of angle MKL is how many degrees greater than the measure 20 Nov 2019, 22:06
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lnm87
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kendrikFROMkenya


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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.
Show more


Hi,
lnm87, I have just added a bit of explanation in my earlier post on why statement II is also sufficient.
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The measure of angle MKL is how many degrees greater than the measure 20 Nov 2019, 22:12
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solution not correct. now I am skeptical of my verbal prep on gmat club.
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The measure of angle MKL is how many degrees greater than the measure 20 Nov 2019, 22:24
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chetan2u
lnm87


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.
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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
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The measure of angle MKL is how many degrees greater than the measure 21 Nov 2019, 00:05
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pllktyl
solution not correct. now I am skeptical of my verbal prep on gmat club.
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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.
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The measure of angle MKL is how many degrees greater than the measure 21 Nov 2019, 07:49
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lnm87
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kendrikFROMkenya


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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The measure of angle MKL is how many degrees greater than the measure 26 Dec 2022, 07:17
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