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The sum of the interior angles of regular polyg... - WAEC Mathematics 2012 Question

The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?

A
16
B
12
C
10
D
8
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Correct Option: B

Sum = (n - 2)180

1800 = (n - 2)180

divide both sides by 180o

(\frac{1800}{180}) = (n - 2)(\frac{180}{180})

10 = n - 2

10 + 2 = n

n = 12

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