1. **Stating the problem:** We need to determine which two angles are adjacent from the given options. 2. **Definition of adjacent angles:** Adjacent angles share a common vertex and a common side but do not overlap. 3. **Analyzing the diagram description:** - Angle 1 is between the right horizontal ray and the up-right ray. - Angle 2 is between the two diagonal rays. - Angle 3 is between the left horizontal ray and the up-left ray. - Angle 4 is the straight angle below the horizontal line. 4. **Checking pairs:** - 1 and 3: They are on opposite sides of the vertex, separated by the horizontal line, so not adjacent. - 2 and 3: They share the up-left ray as a common side and the vertex, so they are adjacent. - 2 and 4: They do not share a common side. 5. **Conclusion:** The adjacent angles are 2 and 3. **Final answer:** 2 and 3