1. **Problem Statement:** We are given two parallel lines \(\overleftrightarrow{JL}\) and \(\overleftrightarrow{MO}\) and several pairs of angles. We need to determine which pair of angles are adjacent angles. 2. **Definition of Adjacent Angles:** Adjacent angles share a common vertex and a common side but do not overlap. They are next to each other. 3. **Analyze Each Pair:** - \(\angle JKI\) and \(\angle ONK\): These angles have different vertices (K and N), so they are not adjacent. - \(\angle LKI\) and \(\angle MNP\): Different vertices (K and N), so not adjacent. - \(\angle LKI\) and \(\angle JKI\): Both share vertex K and share a common side \(\overline{KI}\), so they are adjacent. - \(\angle LKI\) and \(\angle JKN\): Both share vertex K but do not share a common side (one side is \(\overline{KI}\), the other is \(\overline{KN}\)), so they are adjacent as well. 4. **Conclusion:** The pairs \(\angle LKI\) and \(\angle JKI\), and \(\angle LKI\) and \(\angle JKN\) are adjacent angles. However, since the question asks which angles are adjacent angles (singular), the best answer is \(\angle LKI\) and \(\angle JKI\) because they share a side and vertex clearly. **Final answer:** \(\angle LKI\) and \(\angle JKI\) are adjacent angles.