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In this diagram, we see two parallel lines (\(\ell\) and \(m\)) being cut by a transversal (\(k\)). The problem asks for the relationship between \(\angle 1\) and \(\angle 5\).

### Identifying the relationship:
- \(\angle 1\) is located in the top left of the bottom intersection of the transversal.
- \(\angle 5\) is in the top right of the top intersection of the transversal.

Since \(\angle 1\) and \(\angle 5\) are located on the same side of the transversal, in corresponding positions, these angles are **corresponding angles**.

### Correct Answer: 
- **Corresponding Angles**

Let me know if you would like a further explanation!

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Here are 5 related questions you might want to explore:
1. What is the relationship between \(\angle 2\) and \(\angle 8\)?
2. How do alternate interior angles behave in parallel line situations?
3. What is the relationship between \(\angle 3\) and \(\angle 7\)?
4. Can corresponding angles be supplementary? Why or why not?
5. What is the sum of interior angles formed between parallel lines?

### Tip:
In diagrams with parallel lines, identifying whether angles are corresponding, alternate interior, alternate exterior, or vertical helps in solving many geometry problems quickly!

Name the relationship between ∠1 and ∠5.

Discover the relationship between ∠1 and ∠5 formed by parallel lines and a transversal. Learn about corresponding angles and how they help in solving geometry problems. This example uses the corresponding angles postulate and is suitable for students in Grades 7-9.

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