passpadi

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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