Rhombus Check Eb357B

1. **Problem Statement:** Determine if parallelogram $VWXY$ is a rhombus given that the diagonals $WY$ and $XV$ intersect at point $Z$ and the angle between them at $Z$ is $85^\circ$. 2. **Key Properties:** - A parallelogram is a rhombus if and only if its diagonals are perpendicular (i.e., intersect at $90^\circ$). - The diagonals of a rhombus bisect each other at right angles. 3. **Given:** The angle between diagonals $WY$ and $XV$ at $Z$ is $85^\circ$. 4. **Analysis:** Since the angle between the diagonals is $85^\circ$, which is not $90^\circ$, the diagonals are not perpendicular. 5. **Conclusion:** Because the diagonals are not perpendicular, parallelogram $VWXY$ is **not** a rhombus. **Final answer:** No, parallelogram $VWXY$ is not a rhombus.