To determine which angles are adjacent in the provided diagram, we can use the following criteria:

Adjacent Angles Definition: Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

For the given diagram:

1. Angles that are next to each other at intersections (e.g., at $J$ or $M$) are adjacent.
2. They share a vertex and a side formed by the intersecting lines.

Examples of adjacent angles in the diagram:

1. At vertex $J$:

   • $\angle IJH$ and $\angle HJK$
   • $\angle IJH$ and $\angle LJM$
   • $\angle LJM$ and $\angle MJN$
   • $\angle HJK$ and $\angle MJN$

2. At vertex $M$:

   • $\angle LJM$ and $\angle MJN$
   • $\angle MJN$ and $\angle NJO$
   • $\angle NJO$ and $\angle HJM$
   • $\angle HJM$ and $\angle LJM$

If you'd like further clarification or details, feel free to ask!

5 Related Questions:

1. How are adjacent angles different from vertical angles?
2. Can adjacent angles form a linear pair? Why or why not?
3. What are the supplementary angles in the given diagram?
4. How do we identify corresponding angles in this diagram?
5. Why are parallel lines essential for understanding angle relationships?

Tip: Always check the shared vertex and side to correctly identify adjacent angles!