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25 Oct 2015, 09:12
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D
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Difficulty:
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75% (00:58) correct
25%
(01:17)
wrong
based on 3830
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In the parallelogram shown, what is the value of x?
(1) y = 2x
(2) x + z = 120
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ENGRTOMBA2018
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25 Oct 2015, 09:51
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Bunuel
Given that the shape is a parallelogram, y+x=180 and y+z=180
Per statement 1, y=2x ---> 2x+x=180 ---> x=60. Sufficient.
Per statement 2, x+z=120 and y+z=180 ---> y-x=60 and with x+y=180 ---> x=60. Sufficient.
D is the correct answer.
11 Dec 2017, 14:40
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Hi All,
We're asked to find the value of angle X in the parallelogram.
When dealing with a parallelogram, there are a variety of math rules about that shape that you might find useful:
1) Opposite sides have equal length
2) Opposite angles are equal
3) The two angles on a 'side' of the shape will add up to 180 degrees.
1) Y = 2X
Since angle Y and angle X are on the same 'side', we know that Y + X = 180 degrees. With Fact 1, we are given a second equation to work with, so we clearly have a 'system' of equations (so you can figure out the values of X and Y). In this case, X = 60, Y = 120
Fact 1 is SUFFICIENT
2) X + Z = 120
Since X and Z are opposite angles, we know that they are equal. With the information in Fact 2, we now know that they are X = 60 and Z = 60.
Fact 2 is SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
We're asked to find the value of angle X in the parallelogram.
When dealing with a parallelogram, there are a variety of math rules about that shape that you might find useful:
1) Opposite sides have equal length
2) Opposite angles are equal
3) The two angles on a 'side' of the shape will add up to 180 degrees.
1) Y = 2X
Since angle Y and angle X are on the same 'side', we know that Y + X = 180 degrees. With Fact 1, we are given a second equation to work with, so we clearly have a 'system' of equations (so you can figure out the values of X and Y). In this case, X = 60, Y = 120
Fact 1 is SUFFICIENT
2) X + Z = 120
Since X and Z are opposite angles, we know that they are equal. With the information in Fact 2, we now know that they are X = 60 and Z = 60.
Fact 2 is SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
