1. The problem involves understanding angles on a circle, specifically coterminal angles and reference angles, as applied to a Ferris wheel. 2. Coterminal angles are angles that differ by full rotations of 360°. For example, 75° and 435° are coterminal because $$435° = 75° + 360°$$. 3. Negative coterminal angles are found by subtracting 360° repeatedly. For example, $$-285° = 75° - 360°$$. 4. Reference angles are the acute angles formed between the terminal side of the given angle and the x-axis. They help identify the position of the seat on the Ferris wheel. 5. The table correctly lists angles with their positive and negative coterminal angles, and their corresponding quadrants or axes. 6. The seat positions described (e.g., 20° in Quadrant III, 45° in Quadrant IV) align with the standard unit circle quadrant definitions. 7. The reflections and explanations about the Ferris wheel rotation and angle repetition are accurate and consistent with trigonometric principles. Final conclusion: The descriptions, tables, and reflections provided are correct and consistent with the mathematical concepts of coterminal angles, reference angles, and circular motion.