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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{(n - 2)180}{n}\) = 162 (where n = no. of sides)
162n = 180n - 360
162n - 180n = -360
-18n = - 360
n = \(\frac{360}{18}\)
n = 20
Source: Myschool Past Questions Archive (Record #36271)