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Looking at the diagram, the problem asks to identify the relationship between ∠5 and ∠13, with the information that line *a* is parallel to line *b* and line *g* is parallel to line *h*. 

∠5 and ∠13 are located on opposite sides of the transversal (*g* and *h*), and because the lines *a* and *b* are parallel, this makes them **alternate interior angles**. In geometry, alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore:

- ∠5 and ∠13 are **alternate interior angles**.

Would you like further details on how to identify alternate interior angles or other angle relationships? 

Here are five related questions to deepen your understanding:
1. What are corresponding angles, and how are they identified in this diagram?
2. How do same-side interior angles relate to parallel lines?
3. Can you explain how to prove that alternate interior angles are congruent?
4. What is the relationship between ∠6 and ∠14 in the same diagram?
5. What would happen if lines *a* and *b* were not parallel?

**Tip**: Always remember that alternate interior angles occur in pairs on opposite sides of the transversal when dealing with parallel lines!

Use the diagram and word bank to answer where a || b and g || h. What is the relationship between ∠5 and ∠13?

Explore the relationship between ∠5 and ∠13 in parallel lines with a transversal. Using the alternate interior angle theorem, learn how parallel lines create equal angles. Suitable for students in Grades 8-10.

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