Geometry

Question Analysis:
This problem requires logical reasoning based on the angle relationship between interior and exterior angles.

Key Concept Explanation:
Exterior + Interior = 180°

Step-by-Step Solution:
Exterior + Interior = 180°
Given: exterior = 4 × interior
Let interior = x ⇒ exterior = 4x
So: x + 4x = 180 ⇒ 5x = 180 ⇒ x = 36
So interior = 36°, exterior = 144°
Now test sides:
n = 360 ÷ 144 = 2.5 ❌ Not a whole number

Option Analysis:
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