Geometry

Question Analysis:
This question tests the ability to reverse-engineer from an angle constraint to the minimum possible number of sides.
The main focus is inequality-based reasoning using the interior angle formula.

Key Concept Explanation:
For a regular polygon (equal angles),
Interior angle = (n − 2) × 180/n

Step-by-Step Solution:
Interior angle = (n − 2) × 180 / n > 160
→ 180n − 360 > 160n
→ 20n > 360
→ n > 18
→ Smallest integer: n = 19

Common Mistakes:<...