WAEC - Mathematics (2007 - No. 35)
Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
8
12
16
20
Shpjegimi
\(\frac{(n - 2)180}{n}\) = 162 (where n = no. of sides)
162n = 180n - 360
162n - 180n = -360
-18n = - 360
n = \(\frac{360}{18}\)
n = 20
162n = 180n - 360
162n - 180n = -360
-18n = - 360
n = \(\frac{360}{18}\)
n = 20