Geometry

Question Analysis:
This problem requires multi-step reasoning:
You must find the number of sides of the smaller polygon, double it for the larger one, and then compute its exterior angle.
The main focus is on using the relationship between interior and exterior angles and understanding how number of sides affects both.

Key Concept Explanation:
Interior + Exterior = 180°
To find the number of sides from one interior angle of a regular polygon:
 Interior angle = (n – 2) × 180 ÷ n
Or more efficiently:
 Exterior angle = 180 – Interior angle
 → n = 360 ÷ Exterior angle

Step-by-Step Solution:
Smaller polygon:
 Interior angle = 120° → Exterior angle = 60°
Number of sides of smaller polygon:
 360 ÷ 60 = ...