Each of the interior angle of a regular polygon is 162°. How many sides has...
MATHEMATICS
WAEC 2007
Each of the interior angle of a regular polygon is 162°. How many sides has the polygon?
- A. 8
- B. 12
- C. 16
- D. 20
Correct Answer: D. 20
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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