Given parameters:
Each interior angle = 150°
Unknown:
The number of sides of this regular polygon = ?
Solution:
To find the sum of internal angles of a regular polygon, we use the expression below;
(n - 2) x 180 = sum of internal angles of a polygon
n is the number of sides,
Also, the sum of the internal angles of a polygon = number of sides x internal angles;
So;
(n-2) x 180 = 150 x n
Solve for n;
180n - 360 = 150n
180n - 150n = 360
30n = 360
n = 12;
Therefore, the number of sides is 12