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I see that you've uploaded a worksheet on parallel lines, specifically asking to identify pairs of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or adjacent. Additionally, it asks whether the angles are congruent or supplementary.

Here’s a breakdown of each type of angle relationship:

1. **Corresponding Angles**: These angles are in matching positions at each intersection of the transversal with the parallel lines and are congruent.
2. **Alternate Interior Angles**: These angles are on opposite sides of the transversal but inside the parallel lines, and they are congruent.
3. **Alternate Exterior Angles**: These are on opposite sides of the transversal but outside the parallel lines, and they are congruent.
4. **Same-Side Interior Angles (Consecutive Interior)**: These angles are on the same side of the transversal and inside the parallel lines. They are supplementary (sum to 180°).
5. **Vertical Angles**: These are angles opposite each other when two lines intersect, and they are congruent.
6. **Linear Pair**: Two adjacent angles formed by two intersecting lines. They are supplementary.

Would you like me to help you go over the specific angles for each numbered problem in your worksheet? 

Here are 5 related questions to deepen understanding:

1. What is the difference between alternate interior and alternate exterior angles?
2. How can you identify corresponding angles in a diagram with parallel lines?
3. In what scenarios are angles supplementary instead of congruent?
4. How can you prove that vertical angles are always congruent?
5. What is the significance of the transversal in determining angle relationships?

**Tip**: Always check whether the lines are parallel before determining angle relationships, as some properties only apply to parallel lines crossed by a transversal.

Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or adjacent. Then say if they are congruent or supplementary.

Explore a worksheet on identifying pairs of angles (corresponding, alternate interior, alternate exterior, same-side interior, vertical, and adjacent) formed by parallel lines and a transversal. Learn how to determine whether angles are congruent or supplementary.

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