Question

If each interior angle of a regular polygon measures 150°, how many sides does the polygon have?

Answer 1

Formula for the interior angle of a regular polygon = [ (n - 2) x 180 ] / n

---n is the number of sides of the polygon

[ (n - 2) x 180 ] / n = 150

(n - 2) x 180 = 150n

180n - 360 = 150n

-360 = -30n

n = 12

Answer: 12 sides

Hope this helps!