A regular polygon has an interior angle that is 5 times the measure of its exterior angle. How many sides does the polygon have?
Show answer & explanation
Correct answer: B
Explanation
Given:
Interior angle = 5 times the exterior angle
By the formula:
Interior angle + exterior angle = 180°
Exterior angle = 360° / n
Let exterior angle = x
Interior angle = 5x
x + 5x = 180
6x = 180
x = 30°
n = 360 / 30 = 12 sides