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According to the figure, the value of x is

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According to the figure, the value of x is  [#permalink]

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According to the figure, the value of x is
A) 30
B) 60
C) 70
D) 80
E) 100

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Re: According to the figure, the value of x is  [#permalink]

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New post 27 Oct 2018, 09:08
Ans is C - X is 70
Using parallel lines, the shape can be divided into 2 and using the equations for angles in a polygon, the internal angle next to x can be evaluated as 110. Using the sum of angles on a straight line rule, value of x can be found as 180-110 = 70
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Re: According to the figure, the value of x is  [#permalink]

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New post 27 Oct 2018, 09:12
C.

Draw a line extending from the 70 degree angle to the diagonal corner, and then youll have a triangle.
Next, you can infer that since you have the 70, the right angle, the corner angle must therefore be 180 - (90+70) = 180 - 160 = 20.
From there, we can then draw a straight line down from the top edge of the figure down to the point of our 70 degree angle. (making another triangle)

From there, we can see we've got 20 degrees from above, the 90 degrees we drew, and therefore the opposing angle to x is 180 - 110 = 70
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Re: According to the figure, the value of x is  [#permalink]

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New post 27 Oct 2018, 09:12
Ans: C
We can form two quadrilateral by making a perpendicular line from angle x. By the property of a quadrilateral, we know that this line makes 90 degrees with the line it intersects.
By following the quad. property again we find all the angles in the second quadrilateral (one with 70 degrees angle)
Therefore, we get the equation x+110 = 180
So, x = 70
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Re: According to the figure, the value of x is  [#permalink]

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New post 27 Oct 2018, 12:14
the answer will be 70 (C)
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Re: According to the figure, the value of x is  [#permalink]

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New post 27 Oct 2018, 12:32
It's a 6 sided polygon. Sum of it's interior angle = 180(n-2) = 180*4 = 720
Only one angle is left out which is = 720 90 - 90 - 70 - 100 - 80 = 290
Now , x = 360-290 = 70
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Re: According to the figure, the value of x is  [#permalink]

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New post 28 Oct 2018, 12:19
C) 70

Extending the middle line makes it two trapezoids. the trapezoid on the right has angles adding upto 360 degrees.
90+90+70 + y = 360
y= 360-250 = 110
x = 180 - y
x = 70
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Re: According to the figure, the value of x is &nbs [#permalink] 28 Oct 2018, 12:19
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According to the figure, the value of x is

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