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Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?

Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
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  • 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

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