A regular polygon has 150º as the size of each interior angle. How many sides does it have?
-
12
- 10
- 9
- 8
The correct answer is: 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 .