1. **Problem Statement:** Find the pairs of angles that are Same Side Interior, Same Side Exterior, and Alternate Exterior in the given diagram of two parallel horizontal lines cut by two vertical transversal lines, creating 16 labeled angle regions. 2. **Understanding the terms:** - **Same Side Interior Angles:** Angles that lie between the two parallel lines and on the same side of the transversal. - **Same Side Exterior Angles:** Angles that lie outside the two parallel lines and on the same side of the transversal. - **Alternate Exterior Angles:** Angles that lie outside the two parallel lines and on opposite sides of the transversal. 3. **Identify the lines and angles:** - Two parallel horizontal lines. - Two vertical transversal lines. - Angles labeled 1 to 16 in a 4x4 grid. 4. **Find Same Side Interior Angles:** - Between the two parallel lines and on the same side of a transversal. - For the left transversal, interior angles are between the horizontal lines: angles 3, 4 (top interior) and 7, 8 (bottom interior). - Same side interior pairs on left transversal: (3,7) and (4,8). - For the right transversal, interior angles are: 11, 12 (top interior) and 15, 16 (bottom interior). - Same side interior pairs on right transversal: (11,15) and (12,16). 5. **Find Same Side Exterior Angles:** - Outside the two parallel lines and on the same side of a transversal. - For the left transversal, exterior angles are: 1, 2 (top exterior) and 9, 10 (bottom exterior). - Same side exterior pairs on left transversal: (1,9) and (2,10). - For the right transversal, exterior angles are: 5, 6 (top exterior) and 13, 14 (bottom exterior). - Same side exterior pairs on right transversal: (5,13) and (6,14). 6. **Find Alternate Exterior Angles:** - Outside the two parallel lines and on opposite sides of the transversal. - For the left transversal: (1,10) and (2,9). - For the right transversal: (5,14) and (6,13). **Final answers:** - Same Side Interior: (3,7), (4,8), (11,15), (12,16) - Same Side Exterior: (1,9), (2,10), (5,13), (6,14) - Alternate Exterior: (1,10), (2,9), (5,14), (6,13)