1. **Problem Statement:** Identify the type of angle pairs in each diagram (8 to 15) as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear pairs. 2. **Key Definitions:** - Corresponding angles: angles in the same relative position at each intersection. - Alternate interior angles: angles on opposite sides of the transversal, inside the two lines. - Alternate exterior angles: angles on opposite sides of the transversal, outside the two lines. - Same-side interior angles: angles on the same side of the transversal, inside the two lines. - Vertical angles: opposite angles formed by two intersecting lines. - Linear pair: adjacent angles formed by two intersecting lines that sum to 180°. 3. **Analysis per diagram:** **8)** Diagram shows two intersecting lines forming angles x and y opposite each other. - x and y are vertical angles. **9)** Diagram shows two parallel lines cut by a transversal with angles y and x on opposite sides. - y and x are alternate interior angles. **10)** Diagram shows two parallel lines with arrows indicating angles y and x on the same side of the transversal. - y and x are same-side interior angles. **11)** Diagram shows two intersecting lines with angles x and y adjacent. - x and y form a linear pair. **12)** Diagram shows two parallel lines with a transversal forming angles y and x on opposite sides outside the lines. - y and x are alternate exterior angles. **13)** Diagram shows two parallel lines with angles y and x on the same side outside the lines. - y and x are same-side exterior angles (not a standard category but can be considered corresponding or exterior). **14)** Diagram shows two parallel lines with angles x and y on opposite sides inside the lines. - x and y are alternate interior angles. **15)** Diagram shows two intersecting lines with angles y and x adjacent. - y and x form a linear pair. 4. **Summary:** - 8: vertical angles - 9: alternate interior angles - 10: same-side interior angles - 11: linear pair - 12: alternate exterior angles - 13: corresponding or exterior angles - 14: alternate interior angles - 15: linear pair This classification helps understand angle relationships in parallel lines and transversals, useful in geometry proofs and problem solving.