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In the diagram you provided, two lines are cut by a transversal, forming eight angles. The "same-side interior angles" are a pair of angles that lie on the same side of the transversal and are inside the two lines.

For the pair of lines \( r \) and \( m \), cut by the transversal \( s \):

- Angles 3 and 5 form a pair of same-side interior angles.
- Similarly, angles 4 and 6 form another pair of same-side interior angles.

These angles add up to \(180^\circ\) because they are supplementary.

Would you like further clarification on same-side interior angles? Here are five follow-up questions to deepen your understanding:

1. How do you determine if two angles are supplementary?
2. What are alternate interior angles, and how do they differ from same-side interior angles?
3. Can you identify any other types of angle pairs from this diagram (like corresponding angles)?
4. What is the significance of the transversal in this diagram?
5. How would the angle relationships change if the lines were parallel?

**Tip**: When working with transversals, remember that same-side interior angles are always supplementary if the lines are parallel!

Identify a pair of same-side interior angles.

Learn how to identify same-side interior angles when two lines are cut by a transversal. This geometry problem includes key concepts like supplementary angles and the same-side interior angles theorem. Suitable for students in Grades 7-10.

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