Geometry

Question Analysis:
This question involves the relationships between adjacent angles in a quadrilateral.
The main focus is on using angle supplementary relationships to prove a quadrilateral is a parallelogram.

Key Concept Explanation:
One of the valid ways to prove a quadrilateral is a parallelogram:
If an angle is supplementary to both of its adjacent angles, then the quadrilateral is a parallelogram.

Step-by-Step Solution:
∠W + ∠X = 180∘ and ∠X + ∠Y = 180∘.
This means ∠X is supplementary to both its neighbors: ∠W and ∠Y.
This matches the condition above and confirms that WXYZ is a parallelogram.

Option Analysis:
A. Square – Requires all angles to be 90°, which is not given. ❌
B. Parallelogram – Fits the given condition. ✅
C. Kite – Defined by pairs of equal adjacent sides; angle conditions don't support this....