The sum of the interior angles of a polygon can be found using the formula:

S = (n - 2) * 180

Where:
S = sum of the interior angles
n = number of sides of the polygon

Here's how you derive this formula:

Step 1: A polygon with n sides can be divided into (n - 2) triangles.

Step 2: Since the sum of the angles in a triangle is 180 degrees, the sum of the angles in n triangles would be (n - 2) * 180.

Step 3: Therefore, the sum of the interior angles of a polygon is (n - 2) * 180.

Question

The sum of the interior angles of a polygon can be found using the formula:

S = (n - 2) * 180

Where:
S = sum of the interior angles
n = number of sides of the polygon

Here's how you derive this formula:

Step 1: A polygon with n sides can be divided into (n - 2) triangles.

Step 2: Since the sum of the angles in a triangle is 180 degrees, the sum of the angles in n triangles would be (n - 2) * 180.

Step 3: Therefore, the sum of the interior angles of a polygon is (n - 2) * 180.

Knowee AI · Accepted Answer

The sum of the interior angles of a polygon can be found using the formula:

S = (n - 2) * 180

Where:
S = sum of the interior angles
n = number of sides of the polygon

Here's how you derive this formula:

Step 1: A polygon with n sides can be divided into (n - 2) triangles.

Step 2: Since the sum of the angles in a triangle is 180 degrees, the sum of the angles in n triangles would be (n - 2) * 180.

Step 3: Therefore, the sum of the interior angles of a polygon is (n - 2) * 180.

Generalizing the sum1.Create a general equation for the sum of the interior angles of a polygon.Use S to represent the sum of the interior angles and n for the number of sides.