Question

Each interior angle of a regular polygon measures 150° . Find the number of sides of the polygon .

Answer 1

The answer is probably 17/6.

Answer 2

We know that interior angle of a regular polygon = (n - 2) * 180/n.    -------- (1)

Given that each interior angle of a regular polygon measures 150.  ------ (2)

From (1) & (2), the equation can be written as 

(n - 2) * 180/n = 150

(n - 2) * 180 = 150n

180n - 360 = 150n

-360 = -30n

n = 360/30

n = 12.


Therefore the number of sides of the polygon = 12.


Hope this helps!