In a regular polygon, the difference between each interior and exterior angle is 60°. Determine the number of sides of the polygon.
Show answer & explanation
Correct answer: A
Explanation
Interior angle − Exterior angle = 60°
Interior angle + Exterior angle = 180°
Let Interior angle = x, Exterior angle = y
x − y = 60
x + y = 180
2x = 240 ⇒ x = 120
y = 180 − 120 = 60
n = 360 / 60 = 6