The sum of the interior angles of a polygon can be calculated using the formula:
Sum = (n – 2) × 180°
Where n is the number of sides in the polygon. For example, if you have a triangle (3 sides), you would substitute 3 into the formula:
Sum = (3 – 2) × 180° = 1 × 180° = 180°
If you have a quadrilateral (4 sides):
Sum = (4 – 2) × 180° = 2 × 180° = 360°
You can use this formula for any polygon by simply knowing the number of its sides. This formula works because it essentially divides the polygon into triangles, with each triangle contributing 180 degrees to the total angle sum.