1. **Stating the problem:** Identify the types of angles marked in each of the three diagrams involving a transversal crossing lines. 2. **Important angle types and rules:** - **Vertically opposite angles:** Angles opposite each other when two lines intersect; they are equal. - **Corresponding angles:** Angles in the same relative position at each intersection when a transversal crosses parallel lines; they are equal. - **Alternate angles:** Angles on opposite sides of the transversal but inside the parallel lines; they are equal. 3. **Analysis of each case:** **a)** Two orange angles at one intersection of a transversal with a horizontal line, one above the top line on the left of the transversal and one below the top line on the right of the transversal. - These angles are opposite each other at the intersection. - By definition, these are **vertically opposite angles**. **b)** Two pink angles in matching positions where a transversal crosses two parallel lines, both above the horizontal lines and to the right of the transversal. - These angles occupy the same relative position at each intersection. - By definition, these are **corresponding angles**. **c)** Two green angles inside the parallel lines on opposite sides of the transversal, one below the top line on the right and one above the bottom line on the left. - These angles lie inside the parallel lines and on opposite sides of the transversal. - By definition, these are **alternate angles**. **Final answers:** - a) Vertically opposite angles - b) Corresponding angles - c) Alternate angles