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The question asks which angles are adjacent. Adjacent angles are two angles that share a common vertex and a common side, but do not overlap.

Looking at the diagram:
- \( \angle POR \) is the angle formed by lines \( OP \) and \( OR \).
- Now, we need to identify an angle that shares a side with \( \angle POR \).

Let's analyze the options:
1. **\( \angle POR \) and \( \angle SRT \)**: These two angles are not adjacent, as they do not share a common side or vertex.
2. **\( \angle POR \) and \( \angle POM \)**: These two angles are adjacent, since they share the common vertex \( O \) and the side \( OP \). Thus, this is a valid pair of adjacent angles.
3. **\( \angle POR \) and \( \angle QRO \)**: These angles share vertex \( O \), but their sides are not adjacent, making them non-adjacent.
4. **\( \angle POR \) and \( \angle SRO \)**: These angles do not share a common side or vertex, so they are not adjacent.

The correct answer is **\( \angle POR \) and \( \angle POM \)**.

Would you like more details or have any questions? Here are some related questions:
1. What defines adjacent angles?
2. How can you identify adjacent angles in a different diagram?
3. Are adjacent angles always supplementary?
4. Can two obtuse angles be adjacent?
5. What happens when two adjacent angles form a straight line?

**Tip**: Adjacent angles always share a common side and a vertex without overlapping!

This geometry problem helps students identify adjacent angles when working with parallel lines and a transversal. The correct pair of adjacent angles is determined by their shared vertex and common side. Suitable for students in Grades 6-8.

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