Question: The measure of one angle of a linear pair is $120^\circ$. Find the measure of the other angle.
1. **State the problem:** We are given one angle of a linear pair as $120^\circ$ and need to find the measure of the other angle.
2. **Recall the property of a linear pair:** The sum of the measures of two angles forming a linear pair is $180^\circ$ because they are supplementary.
3. **Set up the equation:** Let the measure of the other angle be $x$. Then,
$$120^\circ + x = 180^\circ$$
4. **Solve for $x$:**
$$x = 180^\circ - 120^\circ$$
$$x = 60^\circ$$
5. **Conclusion:** The measure of the other angle in the linear pair is $60^\circ$.