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Let's go through the relationships between the angles formed by the transversal \( t \) cutting through the two parallel lines \( j \) and \( k \).

1. **Corresponding Angles**: Corresponding angles are in the same relative position at each intersection where the transversal crosses the parallel lines. In this diagram, the corresponding angle pairs are:
   - Angle 1 and Angle 5
   - Angle 2 and Angle 6
   - Angle 3 and Angle 7
   - Angle 4 and Angle 8

2. **Alternate Interior Angles**: Alternate interior angles are on opposite sides of the transversal and between the two parallel lines. The pairs of alternate interior angles are:
   - Angle 3 and Angle 6
   - Angle 4 and Angle 5

3. **Alternate Exterior Angles**: Alternate exterior angles are on opposite sides of the transversal and outside the two parallel lines. The pairs of alternate exterior angles are:
   - Angle 1 and Angle 8
   - Angle 2 and Angle 7

4. **Interior/Exterior Angles on the Same Side**: These angles are on the same side of the transversal, either both inside or both outside the parallel lines. They are also sometimes referred to as consecutive angles or same-side angles.
   - **Same-Side Interior Angles**: Angle 3 and Angle 5, Angle 4 and Angle 6
   - **Same-Side Exterior Angles**: Angle 1 and Angle 7, Angle 2 and Angle 8

Would you like more details or have any specific questions?

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Here are some additional questions for practice:
1. If Angle 1 measures 120°, what are the measures of the other angles?
2. How do alternate interior angles relate to each other in terms of their measurements?
3. Are same-side interior angles supplementary? Why or why not?
4. How can you verify that lines \( j \) and \( k \) are parallel based on angle relationships?
5. If the transversal \( t \) were perpendicular to line \( j \), what would be the measures of all angles?

**Tip**: When working with parallel lines cut by a transversal, remember that corresponding angles are always equal and alternate angles are congruent.

Identify corresponding, alternate interior, alternate exterior, and same-side angles in a diagram where two parallel lines are cut by a transversal.

Explore how to identify corresponding, alternate interior, alternate exterior, and same-side angles when two parallel lines are cut by a transversal. This guide covers key angle relationships and theorems, suitable for students in Grades 7-10.

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