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A regular polygon has 150o as the size of each ... - JAMB Mathematics 2009 Question

A regular polygon has 150o as the size of each interior angle. How many sides does it have?

A
12
B
10
C
9
D
8
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Correct Option: A

Sum of interior angles of a polygon = each interior ∠ x n

(n-2)180 = 150 x n

180n - 360 = 150n

180n-150n = 360

30n = 360

n = 360/30

n = 12 sides

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