Question

The sum of the interior angles of a convex n-sided polygon can be found using the formula:

Answer 1

It is: 180(n-2)

For example, the sum of the interior angles of a triangle is 180 degrees.

The quadrilateral can be cut into two triangle so the sum of the interior angles of a quadrilateral is 180*2=180*(4-2)

The pentagon can be cut into three triangle so the sum of the interior angles of a pentagon is: 180*3=180*(5-2)

The hexagon  can be cut into four triangle so the sum of the interior angles of a hexagon is: 180*4=180*(6-2)