1. **Problem Statement:** We have a parallelogram WXYZ with an interior angle at vertex V (which corresponds to vertex Y or Z depending on labeling) labeled as 120°. One side, WX, is labeled as 6x. We need to solve for $x$. 2. **Key Properties of a Parallelogram:** - Opposite sides are equal in length. - Opposite angles are equal. - Adjacent angles are supplementary, meaning they add up to 180°. 3. **Using the Angle Information:** Since one interior angle is 120°, the adjacent interior angle must be: $$180^\circ - 120^\circ = 60^\circ$$ 4. **Using the Side Lengths:** If WX = 6x, then the opposite side YZ is also 6x. 5. **Additional Information Needed:** Since the problem only gives one side length expression and one angle, we assume the parallelogram is defined such that the side WX is opposite to side YZ, and the angle 120° is between sides WX and XY. 6. **If the problem implies a relationship between side lengths and angles (e.g., using the Law of Cosines in the parallelogram), we can write:** For side WY (diagonal), using Law of Cosines: $$WY^2 = WX^2 + XY^2 - 2 \cdot WX \cdot XY \cdot \cos(120^\circ)$$ But without more information about other sides or diagonals, we cannot solve for $x$ directly. 7. **Conclusion:** More information is needed to solve for $x$. If the problem intended to give more side lengths or relationships, please provide them. **Final answer:** Cannot solve for $x$ with the given information.