1. The problem states that line $p$ is parallel to line $q$ and asks to name the angle pairs based on the diagram with a transversal. 2. Important rules for angles formed by a transversal with parallel lines: - Corresponding angles are equal. - Alternate interior angles are equal. - Same side interior angles are supplementary (sum to 180 degrees). - Vertical angles are equal. - Linear pairs are supplementary. 3. Given angle pairs and their names: - Angle 6 and Angle 7: Corresponding angles (they occupy the same relative position at each intersection). - Angle 3 and Angle 5: Same Side Interior Angles (both lie between the parallel lines on the same side of the transversal). - Angle 5 and Angle 7: Linear Pair (they are adjacent and their non-common sides form a straight line). - Angle 3 and Angle 6: Alternate Interior Angles (they lie between the parallel lines but on opposite sides of the transversal). - Angle 4 and Angle 8: Vertical Angles (they are opposite angles formed by the intersection of two lines). 4. These angle relationships help in solving many geometry problems involving parallel lines and transversals.