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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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the answer will be 70 (C)
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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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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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