The correct answer is option (B):
statement (2) alone is sufficient to answer the question
Let's analyze the problem. We're asked if polygon MNOPQRSTUVWXYZ is regular. A regular polygon has all sides equal in length and all interior angles equal.
Statement 1: MN + OP = QR + ST
This statement tells us that the sum of the lengths of two specific sides (MN and OP) equals the sum of the lengths of two other specific sides (QR and ST). This does NOT tell us if all sides are equal. For example, a rectangle would satisfy this if MN = QR and OP = ST, but a rectangle is not a regular polygon unless it's a square. Therefore, statement 1 is insufficient.
Statement 2: MN + OP + WX ≠ QR + ST + YZ
This statement tells us that the sum of the lengths of three specific sides (MN, OP, and WX) is NOT equal to the sum of the lengths of three other specific sides (QR, ST, and YZ). Since the polygon has more than 6 sides, this suggests that not all sides have the same length. If all sides were equal, then any combination of the same number of sides would have equal sums. Therefore, this indicates that the polygon is not regular. The difference in sums, although concerning the sides themselves, is enough to deduce the polygon is not regular. Thus, statement 2 is sufficient.
Since statement 2 is sufficient and statement 1 is not, the correct answer is: statement (2) alone is sufficient to answer the question.