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## OG Parallelogram

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AbeNeedsAnswers Master | Next Rank: 500 Posts
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#### OG Parallelogram

Thu Aug 24, 2017 8:31 pm

00:00

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# Global Stats

Difficult

In the parallelogram shown, what is the value of x?
(1) y = 2x
(2) x + z = 120

D

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
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Thu Aug 31, 2017 10:18 am

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

GMAT assassins aren't born, they're made,
Rich

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