In a regular polygon, each interior angle is 7 times each exterior angle. How many sides does the polygon have?

Explanation

1. 01

   Interior + exterior = 180°, and interior = 7 × exterior, so 8 × exterior = 180°.

2. 02

   Exterior angle = 22.5°.

3. 03

   Number of sides = $360 \div 22.5 = 16$.