Geometry

Question Analysis:
This question combines conceptual knowledge of regular polygons with logical estimation and reverse use of the formula.
The main focus is using angle formulas to find the minimum number of sides based on angle size.

Key Concept Explanation:
Each interior angle of a regular polygon is:
[(n − 2) × 180] ÷ n
We are told this value > 150°, so we can set up an inequality.

Step-by-Step Solution:
Let’s test values:
n = 12 → angle = [(12 − 2) × 180] ÷ 12 = (10 × 180)/12 = 150°
n = 13 → (11 × 180)/13 ≈ 152.3° ✅
So 13 is the smallest n where angle > ...