The measure of each interior angle of a regular convex polygon is 150°.How many sides does it have?

Answer 1

12 sided regular polygon has interior angles = 150 degrees

the general formula is (n-2)180 = sum of interior angles

divide by n to get one interior angle

(n-2)180/n = 150

(n-2)180 = 150n

180n-360 = 150n

180n-150n = 360

30n =360

n= 360/30 = 12

n = 12 = number of sides of a polygon with a 150 degree interior angle