The ratio of the exterior angle to the interior angle of a regular polygon is…

Correct Answer: Option B

Explanation

Let a represent an interior angle; e represent an exterior angle. A section of the polygon is down in the diagram.
(frac{e}{a}) = (frac{l}{11}) given
a = 11e
a + e = 180^o(angles on a straight line)
11e + e = 180^o
12e = 180^o
e = (frac{180^o}{12})
= 15^o
Hence, number of sides
= (frac{360^o}{tect{size of one exterior angle})
= (frac{360^o}{14^o})
= 24