Question

An exterior angle of a regular polygon is seven times its interior angle.

Find the size of it's interior angle.

Answer 1

22.5°

Explanation:

The sum of the interior and exterior angles of a regular polygon is 180°

ext + int = 180°

7 int + int = 180°

8 int = 180° ( divide both sides by 8 )

int = 22.5°