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2009
Mathematics
JAMB
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
Correct Answer:
12
Explanation
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
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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