1. **Problem statement:** Given a quadrilateral WXYZ with diagonals WX and WR, and the lengths XZ = 46 and WR = 21, find the length WX. 2. **Understanding the problem:** We are given two segments XZ and WR, and we need to find WX. Since WX and WR are diagonals of the quadrilateral, and XZ is a side, we need to clarify the relationship between these segments. However, since the problem only gives lengths and asks for WX, we assume WX and WR are related in some way, possibly through the properties of the quadrilateral or given data. 3. **Assuming WX and WR are parts of the diagonal or related segments:** Since no further information is given, the problem likely expects us to use the given lengths directly. 4. **Answer:** Since WR = 21 and XZ = 46, and no other relationships are provided, WX cannot be determined from the given data alone. **Note:** The problem as stated lacks sufficient information to find WX uniquely. Therefore, the answer is: WX cannot be determined with the given information.