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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 26 Dec 2012, 04:18
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

46% (01:53) correct 53% (00:56) wrong based on 105 sessions
Attachment:
Angles.png
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What is the value of x + y in the figure above?

(1) w= 95
(2) z = 125
[Reveal] Spoiler: OA
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Re: What is the value of x + y in the figure above? [#permalink] New post 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
Angles2.png [ 9.97 KiB | Viewed 1330 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.

Answer: C.
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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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