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

Mathematics
JAMB 2009

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 Answer: Option A
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

There is an explanation video available below.

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Explanation Video

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