Let's analyze the figure in the image to solve the given questions.

Given:

• The diagram shows two intersecting lines forming angles, labeled 1 through 8.

Instructions:

(a) One pair of vertical angles
Vertical angles are opposite angles formed by the intersection of two lines.
From the diagram, one pair of vertical angles would be:

• ∠1 and ∠3

(b) One pair of angles that form a linear pair
A linear pair of angles are adjacent angles that form a straight line, adding up to 180°.
From the diagram, a linear pair could be:

• ∠2 and ∠3

(c) One pair of angles that are supplementary
Supplementary angles are any two angles that add up to 180°. This could also be a linear pair, but supplementary angles don't have to be adjacent.
One pair of supplementary angles could be:

• ∠1 and ∠2

Final Answers:

• (a) Vertical angles: ∠1 and ∠3
• (b) Linear pair: ∠2 and ∠3
• (c) Supplementary angles: ∠1 and ∠2

Would you like more details on how these angle relationships work? Here are some related questions for further exploration:

1. What other pairs of vertical angles can you find in the diagram?
2. Are all linear pairs also supplementary angles? Why or why not?
3. Can you identify another pair of supplementary angles in the diagram?
4. How are adjacent angles different from vertical angles?
5. What is the difference between complementary and supplementary angles?

Tip: A quick way to identify vertical angles is to look for opposite angles at the intersection of two lines—they will always be equal!