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Math Expert
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In the parallelogram shown, what is the value of x?
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25 Oct 2015, 08:12
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69% (01:01) correct 31% (01:18) wrong based on 1167 sessions
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Re: In the parallelogram shown, what is the value of x?
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25 Oct 2015, 08:51
Bunuel wrote: In the parallelogram shown, what is the value of x? (1) y = 2x (2) x + z = 120 Kudos for a correct solution.Attachment: 20151025_2009.png 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 > yx=60 and with x+y=180 > x=60. Sufficient. D is the correct answer.




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Re: In the parallelogram shown, what is the value of x?
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25 Oct 2015, 08:51
Bunuel wrote: In the parallelogram shown, what is the value of x? (1) y = 2x (2) x + z = 120 Kudos for a correct solution.Attachment: 20151025_2009.png y+z= 180 x=z (1) y = 2x y+z=y+x = 180 => Know x => sufficient (2) x + z = 120 x=z => Know x => sufficient Ans: D



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Re: In the parallelogram shown, what is the value of x?
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26 Oct 2015, 01:26
Bunuel wrote: In the parallelogram shown, what is the value of x? (1) y = 2x (2) x + z = 120 Kudos for a correct solution.Attachment: 20151025_2009.png IMO Answer is DStatement 1 : y=2x , x+2x = 180 Sifficient. Statement 2: y+z = 180, y+x=180 x=z , 2z = 120 , means , x=60 Sufficient. NOTE: How does one can upload an attachment while answering to question



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Re: In the parallelogram shown, what is the value of x?
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26 Oct 2015, 03:17
Opposite angles are equal in a Quadrilateral so Angle X = Angle Z 1) Y = 2X. X + Y =180 so 3X=180 or X=60. 2) X+Z=120. X=Z so 2X=120 or X=60. So D is the correct answer
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In the parallelogram shown, what is the value of x?
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05 Jan 2017, 23:46
Bunuel wrote: In the parallelogram shown, what is the value of x? (1) y = 2x (2) x + z = 120 Kudos for a correct solution.Attachment: 20151025_2009.png Propoerties of //gm: A. Consectutive angles are supplementary. => y+x=180 B. Opposite angles are equal => z=x 1) y=2x; From A; 2x+x=180 => x=60 => Sufficient 2) x+z=120; From B; x=z=60 => Sufficient D.
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Re: In the parallelogram shown, what is the value of x?
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11 Dec 2017, 13:40
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
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Re: In the parallelogram shown, what is the value of x?
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28 Jun 2018, 20:41
This Question is testing Two rules of a parallelogram:
Statement 1: consecutive angles are supplementary Statement 1: opposites angles are equal.




Re: In the parallelogram shown, what is the value of x? &nbs
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28 Jun 2018, 20:41






