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Each of the interior angle of a regular polygon... - WAEC Mathematics 2007 Question

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
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Correct Option: D

(\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

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