1. **Problem statement:** Given that the pairs of angles \(\angle 13 = \angle 2\), determine which lines are parallel. 2. **Understanding the problem:** When two lines are cut by a transversal, if a pair of corresponding angles are congruent, then the two lines are parallel. 3. **Identify the lines and angles:** - \(\angle 2\) is formed by line \(u\) intersecting line \(l\). - \(\angle 13\) is formed by line \(u\) intersecting line \(m\). 4. Since \(\angle 13 = \angle 2\) and both angles are formed by the transversal \(u\) intersecting lines \(l\) and \(m\), these are corresponding angles. 5. By the Corresponding Angles Postulate, if corresponding angles are equal, then the lines cut by the transversal are parallel. 6. Therefore, lines \(l\) and \(m\) are parallel. **Final answer:** Lines \(l\) and \(m\) are parallel.