Geometry

Question Analysis:
This is a reasoning problem about the relationship between a regular polygon’s interior angle and its number of sides.
The main focus is on rearranging the formula for the measure of each interior angle.

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

Step-by-Step Solution:
Let’s plug values to find n such that:
[(n − 2) × 180] ÷ n = 165
Multiply both sides by n:
(n − 2) × 1...