1. **Stating the problem:** Identify which pairs of angles among \(\angle 5 \text{ and } \angle 4\), \(\angle 6 \text{ and } \angle 5\), \(\angle 3 \text{ and } \angle 5\), and \(\angle 3 \text{ and } \angle 2\) are complementary. 2. **Definition:** Complementary angles are two angles whose measures add up to \(90^\circ\). 3. **Analyzing the pairs:** - \(\angle 5 \text{ and } \angle 4\): Adjacent angles on a straight line, likely supplementary (sum to \(180^\circ\)), not complementary. - \(\angle 6 \text{ and } \angle 5\): Adjacent angles on a straight line, likely supplementary, not complementary. - \(\angle 3 \text{ and } \angle 5\): These are vertical angles or formed by intersecting lines; vertical angles are congruent, not complementary. - \(\angle 3 \text{ and } \angle 2\): Adjacent angles that could be complementary if their sum is \(90^\circ\). 4. **Conclusion:** Only \(\angle 3 \text{ and } \angle 2\) can be complementary angles based on the given description. **Final answer:** \(\angle 3 \text{ and } \angle 2\) are complementary angles.