The answer is C.
If you think of the angles, like angle W + the angle to its right that together form the straight line, then 180 - W will be the interior angle. I called this \(W_1\). If you think of the interior angle adjacent to each letter as that \(Z_1, Y_1, X_1\), then you will have the following equation:
\(x + y = w_1 + z_1\)
When you know the values of w & z, then it allows you to do \(180-w = W_1\) and \(180-z = Z_1\)
Then once you know those 2 interior angles, the other 2 angles (that are \(X_1\) and \(Y_1\) is equal to \(360 - W_1 - Z_1\) So now you have \(X_1 + Y_1 = 360 - W_1 - Z_1\)
You also know that \(x + X_1 + y + Y_1 = 360\) because each of those 4 angles add up to make 360. Each \(x & X_1\) and \(y & Y_1\) form a straight line which is 180 degrees. because there are 2, then it's 180 + 180.
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.
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