1. **State the problem:** We need to find the size of angle $ABC$ to the nearest degree. 2. **Analyze the given information:** Point $B$ is at the center of the protractor baseline, which corresponds to $90^\circ$. Point $A$ is at the right end of the baseline, corresponding to $0^\circ$. Point $C$ lies near the left side, intersecting the protractor at approximately $120^\circ$. 3. **Understand the angle measurement:** The angle $ABC$ is formed at point $B$ between line segments $BA$ and $BC$. Since $BA$ points towards $0^\circ$ and $BC$ points towards $120^\circ$, the angle between them is the difference in their degree measures. 4. **Calculate the angle:** $$\text{Angle } ABC = |120^\circ - 0^\circ| = 120^\circ$$ 5. **Conclusion:** The size of angle $ABC$ is approximately $120$ degrees.