https://file.aiquickdraw.com/mathbot/file/1727032124810kn0hkqbg.jpg

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!

For the figure below, give the following: (a) one pair of angles that form a linear pair, (b) one pair of vertical angles, (c) one pair of angles that are supplementary.

Explore how to identify one pair of angles forming a linear pair, one pair of vertical angles, and one pair of supplementary angles using intersecting lines. This example helps students in Grades 6-8 understand key geometry concepts.

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