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The image you provided appears to be related to parallel lines and transversals, where you need to identify one angle congruent to angle ∠7.

In this case, angle ∠7 lies at the intersection of the transversal line with the horizontal line, and you are asked to find a congruent angle.

Looking at the diagram:
- Angle ∠7 is congruent to angle ∠5 because these angles are alternate interior angles formed by the transversal intersecting the two parallel lines. By the Alternate Interior Angle Theorem, alternate interior angles are congruent when the lines are parallel.

So, the correct answer is:
- ∠5 ≅ ∠7

Would you like to explore further details about parallel lines and transversals? Or do you have any other questions?

Here are some related questions you might find helpful:
1. How can you identify alternate interior angles in a diagram?
2. What are corresponding angles, and how do they relate to parallel lines?
3. How does the Alternate Interior Angle Theorem help solve geometric problems?
4. Can you explain the difference between alternate exterior angles and alternate interior angles?
5. How can you use vertical angles in parallel line problems?

Tip: When working with parallel lines and transversals, always look for congruent angles, such as alternate interior angles, corresponding angles, and vertical angles, to simplify your problem-solving process.

Learn how to identify congruent angles when parallel lines are intersected by a transversal. This problem involves alternate interior angles, a key concept in geometry, useful for students in Grades 7-9.

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