If the exterior angle of a regular polygon is equal to its interior angle, how many sides does the polygon have?
Show answer & explanation
Correct answer: A
Explanation
Exterior Angle = Interior Angle
Interior + Exterior = 180°
In a regular polygon, Exterior Angle = 360°/n
Let Exterior Angle = Interior Angle = x
x + x = 180°
2x = 180°
x = 90°
360°/n = 90°
n = 360/90 = 4 sides