Mathematics

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

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: 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