Question

How many sides does a regular polygon have of each of its interior angle is 150 degree?

Answer 1

Sum of all interior angles=(n-2)180°

(n-2)180/n=150

180n-360=150n

30n=360

n=12

∴The polygon has 12 sides

Answer 2

12 sides

Answered May 20, 2017 · Author has 8.3k answers and 1.8m answer views.
If each interior is 150 degrees, then each exterior angle is 180–150 or 30 degrees. Hence the polygon has 360/30 = 12 sides.