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
jamb 2009mathematics

The correct answer is A. 12

The formula for the measure of an interior angle of a regular polygon with n sides is given by (n-2) 180/n. If we let n be the number of sides of the polygon, and set the measure of an interior angle equal to 150º, we can solve for n:

(n-2) 180/n = 150

180n - 360 = 150n

30n = 360

n = 12

So, the regular polygon has 12 sides

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