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What is the value of x + y in the figure above?

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What is the value of x + y in the figure above? [#permalink]  26 Dec 2012, 04:18
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57% (02:08) correct 43% (01:15) wrong based on 562 sessions
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What is the value of x + y in the figure above?

(1) w= 95
(2) z = 125
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Re: What is the value of x + y in the figure above? [#permalink]  26 Dec 2012, 04:23
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What is the value of x + y in the figure above?

Sum of Interior Angles of a polygon is $$180(n-2)$$ where $$n$$ is the number of sides (so is the number of angles). So, the sum of the interior angles of a quadrilateral is 180*2=360. Look at the diagram below:
Attachment:

Angles2.png [ 9.97 KiB | Viewed 5191 times ]
According to the above: (180-x)+(180-y)+(180-z)+(180-w)=360 --> x+y=360-w-z, so all we need to know is the values of w and z.

(1) w= 95. Not sufficient.
(2) z = 125. Not sufficient.

(1)+(2) Sufficient.

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Re: What is the value of x + y in the figure above? [#permalink]  30 Jun 2014, 09:43
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Re: What is the value of x + y in the figure above? [#permalink]  29 Jul 2015, 06:32
Hello from the GMAT Club BumpBot!

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Re: What is the value of x + y in the figure above?   [#permalink] 29 Jul 2015, 06:32
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