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In the figure above, what is x?

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In the figure above, what is x? [#permalink] New post 05 Aug 2017, 02:05
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In the figure above, what is x?

enter your value

[Reveal] Spoiler: OA
100

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Re: In the figure above, what is x? [#permalink] New post 30 Sep 2017, 06:13
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Taking into consideration the quadrilateral, getting rid of the oblique line that is just to make the question trickier, we have that its internal angles must sum to 360. Thus, we can say that 2x + 110 + 50 = 360 and thus x = 100.
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Re: In the figure above, what is x? [#permalink] New post 30 Sep 2017, 07:33
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Carcass wrote:

In the figure above, what is x?

enter your value

[Reveal] Spoiler: OA
100


Another alternative to the problem

If we consider the 5 sided polygon in the center and sum of the interior angles will be (n-2)*180 = (5-2)*180=540 degree.

Now adding the angles in the polygon we have = 110 +2x +(180-a)+(180-b) =540

or 2x = 70+a+b



or x = 200/2 = 100 (since in the triangle of angle 50,a,b we have a+b+50 =180 or a+b = 130)



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Re: In the figure above, what is x? [#permalink] New post 12 Dec 2018, 21:26
100
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Re: In the figure above, what is x? [#permalink] New post 17 Dec 2018, 08:04
IlCreatore wrote:
Taking into consideration the quadrilateral, getting rid of the oblique line that is just to make the question trickier, we have that its internal angles must sum to 360. Thus, we can say that 2x + 110 + 50 = 360 and thus x = 100.


A creative and elegant solution, who says you can't remove lines as needed. Definitely not used to these kinds of problems from college but I love it!
Re: In the figure above, what is x?   [#permalink] 17 Dec 2018, 08:04
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