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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] New post 08 Mar 2011, 13:16
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68% (01:36) correct 32% (00:51) wrong based on 108 sessions
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What is the value of x+y in the figure above?

(1) w=95
(2) z= 125

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-x-y-in-the-figure-above-144723.html
[Reveal] Spoiler: OA

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Re: What is the value of x+y in the figure above? [#permalink] New post 08 Mar 2011, 13:53
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Baten80 wrote:
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what is the value of x+y in the figure above?
(1) w=95
(2) z= 125


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 quadrilateral is 180*2=360. Look at the diagram below:
Attachment:
untitled.PNG
untitled.PNG [ 4.43 KiB | Viewed 4540 times ]
According to above: (180-x)+(180-y)+(180-z)+w=360 --> x+y=180+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.

Answer: C.
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Re: What is the value of x+y in the figure above? [#permalink] New post 11 Mar 2011, 23:16
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Each statement would have been sufficient,if it were a ||gram.
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Re: What is the value of x+y in the figure above? [#permalink] New post 19 Sep 2013, 15:08
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Re: What is the value of x+y in the figure above? [#permalink] New post 22 Sep 2014, 11:24
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Re: What is the value of x+y in the figure above? [#permalink] New post 22 Sep 2014, 23:28
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Re: What is the value of x+y in the figure above?   [#permalink] 22 Sep 2014, 23:28
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