1. **State the problem:** We have two parallel lines GI and JL cut by a transversal MH, creating several angles. We need to identify which pairs of angles are vertical angles. 2. **Recall the definition of vertical angles:** Vertical angles are the pairs of opposite angles made by two intersecting lines. They are always equal. 3. **Analyze the intersections:** The transversal MH intersects line JL at point K and line GI at point H. 4. **Identify vertical angles at each intersection:** - At point K (intersection of JL and MH), vertical angles are pairs like \(\angle JKM \) and \(\angle LKM \). - At point H (intersection of GI and MH), vertical angles are pairs like \(\angle GHK \) and \(\angle JKH \) (assuming labels around H). 5. **Check each option:** - \(\angle JKM \) and \(\angle LKM \) are vertical angles at K. - \(\angle GHK \) and \(\angle JKH \) are vertical angles at H. - \(\angle JHF \) and \(\angle GHK \) are adjacent angles, not vertical. - \(\angle JKM \) and \(\angle GHK \) are on different intersections, so not vertical. **Final answer:** The vertical angles are \(\angle JKM \) and \(\angle LKM \).