1. **Problem Statement:** Identify which pairs of angles are congruent among the given options: \(\angle 7 \text{ and } \angle 4\), \(\angle 6 \text{ and } \angle 8\), \(\angle 8 \text{ and } \angle 7\), and \(\angle 1 \text{ and } \angle 2\). 2. **Key Concept:** Congruent angles have the same measure. When two parallel lines are intersected by a transversal, several angle relationships arise: - Corresponding angles are congruent. - Alternate interior angles are congruent. - Vertical angles are congruent. 3. **Analyze each pair:** - \(\angle 7 \text{ and } \angle 4\): These are corresponding angles formed by the transversal crossing the first horizontal line. Corresponding angles are congruent. - \(\angle 6 \text{ and } \angle 8\): These are alternate interior angles between the two parallel lines, so they are congruent. - \(\angle 8 \text{ and } \angle 7\): These are adjacent angles on the same line, sharing a common side, so they are not congruent. - \(\angle 1 \text{ and } \angle 2\): These are adjacent angles on the second horizontal line, so they are not congruent. 4. **Conclusion:** The congruent pairs are \(\angle 7 \text{ and } \angle 4\) and \(\angle 6 \text{ and } \angle 8\).