The ratio of an interior angle to its corresponding exterior angle in a regular polygon is 5:1. How many sides does the polygon have?
Show answer & explanation
Correct answer: A
Explanation
Interior angle + Exterior angle = 180°
Exterior angle = 360° / n
Let the interior angle be 5x and the exterior angle be x.
5x + x = 180
6x = 180
x = 30
Exterior angle = 30°
360 / n = 30
n = 360 / 30 = 12