1. **Problem Statement:** We are given two parallel lines cut by a transversal, creating angles labeled $p$ and $m$. We need to identify the angle fact that connects $p$ and $m$. 2. **Relevant Angle Fact:** When two parallel lines are cut by a transversal, alternate interior angles are equal. 3. **Explanation:** - Alternate interior angles are pairs of angles that lie between the two parallel lines but on opposite sides of the transversal. - In this problem, $p$ and $m$ are alternate interior angles. 4. **Conclusion:** Since $p$ and $m$ are alternate interior angles formed by the transversal intersecting the parallel lines, we have: $$p = m$$ This means the measure of angle $p$ is equal to the measure of angle $m$.