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The question in the image asks which statement correctly explains why two lines cut by a transversal are parallel. The diagram shows two lines intersected by a transversal with corresponding angles of 74°.

The answer choices are:
- A) The vertical angles are congruent.
- B) The alternate interior angles are congruent.
- C) The corresponding angles are congruent.

The correct answer is **C** (which is already marked in the image). This is because **corresponding angles** are equal when two parallel lines are cut by a transversal, which ensures that the lines remain parallel.

Would you like more details about the properties of corresponding angles or any other concepts related to parallel lines?

Here are 5 relative questions for further learning:
1. What is the difference between corresponding angles and alternate interior angles?
2. How can you prove that two lines are parallel using alternate interior angles?
3. What other angle pairs are congruent when two lines are parallel?
4. Can two lines be non-parallel if the corresponding angles are congruent?
5. How does a transversal affect the angles formed with non-parallel lines?

**Tip:** When solving problems with parallel lines, always check for congruent corresponding or alternate interior angles to confirm the lines are parallel.

The figure shows two lines cut by a transversal. Which statement correctly explains why the two lines are parallel?

This problem demonstrates how to prove two lines are parallel using the corresponding angles theorem. When two lines are cut by a transversal and corresponding angles are congruent, the lines are parallel. Suitable for Grades 7-9, this exercise helps students master the concepts of parallel lines and transversals.

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