theCodeToGMAT wrote:Is there is some missing information?
What is the source? Can you post complete Q along with answer choices.
You're almost there, theCodeToGMAT.
Unfortunately, this question requires us to apply a circle property that is
not tested on the GMAT.
Quadrilateral ABCD is a
cyclic quadrilateral, and the OPPOSITE angles in a cyclic quadrilateral always add to 180º
So, ∠B + ∠D = 180
So, (50 + x) + (56 + x) = 180
Simplify: 106 + 2x = 180
Solve to get:
x = 37
Also, if ∠C = 180-x (as you have noted), then ∠A = x
[so that ∠A + ∠C = 180]
So, x = [spoiler]
37º[/spoiler]
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
