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?

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.