Bunuel wrote:

If AB||CD, what is the value of x?
Note: Figure not drawn to scale
A. 75
B. 85
C. 95
D. 105
E. 115
Attachment:
Geometry_009.jpg
Since AB || CD, then angle ABC = angle ECF. So angle ECF = x. We see that angle AED = 180 - 55 - 60 = 65, and since angles AED and CEF are vertical angles, angle CEF = 65. Therefore, using triangle CEF, we have:
x + 65 + 40 = 180
x + 105 = 180
x = 75
Answer: A
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