Question: Which angle is supplementary to $\angle 4$?
1. **State the problem:** We need to find the angle supplementary to $\angle 4$.
2. **Recall the definition:** Two angles are supplementary if the sum of their measures is $180^\circ$.
3. **Analyze the diagram description:** The angles $\angle 3$ and $\angle 4$ are adjacent and form a straight line (since they are part of the intersecting lines forming an X).
4. **Identify supplementary angle:** Since $\angle 3$ and $\angle 4$ are adjacent and on a straight line, they are supplementary.
5. **Conclusion:** The angle supplementary to $\angle 4$ is $\angle 3$.
**Final answer:** $\boxed{\angle 3}$