To determine the measure of angle WZY, we need to look at the given options: 545, 71, 1255, and 180 degrees.
First, we know that angles are usually measured in degrees, and a full circle is 360 degrees. Therefore, 545 and 1255 degrees are not valid measures for an angle in standard geometry, as they both exceed 360 degrees. This means we can eliminate those two options right away.
Now we are left with 71 and 180 degrees. In geometry, an angle can measure anywhere between 0 and 180 degrees for it to be considered as an interior angle. An angle that measures exactly 180 degrees is a straight angle, which is a specific case.
Since angles in most geometric contexts do not exceed 180 degrees (unless specified otherwise), the most sensible measure for angle WZY would be 71 degrees as it represents a typical acute angle.
Thus, the answer is: