Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
-
A.
8 -
B.
12 -
C.
16 -
D.
20
Correct Answer: Option D
Explanation
(frac{(n – 2)180}{n}) = 162 (where n = no. of sides)
162n = 180n – 360
162n – 180n = -360
-18n = – 360
n = (frac{360}{18})
n = 20