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To determine which angles are supplementary, we need to identify pairs of angles that sum up to 180°.

Looking at the diagram:

- \( \angle POR \) is formed by the intersection of two lines. Supplementary angles are adjacent angles that form a straight line.
- Let's evaluate the options:

1. \( \angle POR \) and \( \angle NOM \): These angles are not adjacent and do not form a straight line. Therefore, they are not supplementary.
2. \( \angle POR \) and \( \angle POM \): These two angles are adjacent and form a straight line along the line \( PM \). Therefore, they are supplementary.
3. \( \angle POR \) and \( \angle QRO \): These angles are not adjacent and do not form a straight line. Hence, they are not supplementary.
4. \( \angle POR \) and \( \angle SRT \): These angles are also not adjacent and do not form a straight line, so they are not supplementary.

Thus, the correct answer is **\( \angle POR \) and \( \angle POM \)**, as they form a linear pair, summing to 180°.

Would you like further details or have any questions?

Here are 5 related questions to expand the topic:

1. What is the definition of supplementary angles?
2. Can two right angles be supplementary?
3. How do adjacent angles relate to supplementary angles?
4. What are complementary angles, and how are they different from supplementary angles?
5. Are vertical angles ever supplementary?

**Tip**: Supplementary angles always add up to 180°, forming a straight line when placed together.

Learn how to identify supplementary angles from a geometric diagram with intersecting lines. This step-by-step solution explores the concept of adjacent angles, linear pairs, and how they add up to 180°. Suitable for students in Grades 7-10.

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