Question

Each interior angle of a regular polygon is 150°. how many sides has the polygon​

Answer 1

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