Let's analyze the given figure and answer the three parts of the question based on the angles labeled in the diagram:

(a) One pair of angles that form a linear pair:

A linear pair of angles is a pair of adjacent angles whose non-common sides form a straight line (i.e., they add up to 180 degrees).

• A pair that forms a linear pair is ∠1 and ∠2.

(b) One pair of vertical angles:

Vertical angles are pairs of opposite angles formed by two intersecting lines. These angles are always equal.

• One pair of vertical angles is ∠1 and ∠5.

(c) One pair of angles that are supplementary:

Two angles are supplementary if their sum is 180 degrees. Linear pairs are always supplementary, but angles can also be supplementary if they are not adjacent.

• One pair of supplementary angles is ∠2 and ∠6.

Would you like more details or explanations about any of these? Here are some related questions to consider:

1. How do we identify corresponding angles in this figure?
2. What are the properties of alternate interior angles?
3. Can two acute angles form a supplementary pair?
4. What is the relationship between angles on a transversal line?
5. Why are vertical angles always congruent?

Tip: When working with intersecting lines and transversals, remember that linear pairs are always supplementary, and vertical angles are always congruent!