If each interior angle of a regular polygon is 11 times its exterior angle, how many sides does the polygon have?
Show answer & explanation
Correct answer: D
Explanation
Interior angle = 11 × Exterior angle
Interior + Exterior = 180°
Exterior angle = 360°/n
Let the exterior angle be x.
Interior angle = 11x
11x + x = 180
12x = 180
x = 15°
Now,
360/n = 15
n = 360/15 = 24 sides