Geometry

Question Analysis:
This problem requires determining the number of sides based on the measure of each interior angle.
The main focus is manipulating the formula for interior angles of a regular polygon.

Key Concept Explanation:
In a regular polygon,
Interior angle = [(n − 2) × 180] ÷ n

Step-by-Step Solution:
Set the formula equal to 160:
[(n − 2) × 180] ÷ n = 160
Multiply both sides by n:
(n − 2) × 180 = 160n
180n − 360 = 160n
20n = 360