Polygon Angles

The formula for the sum of interior angles in a polygon is $$180(n−2)$$ , where n is the number of sides.

The sum of exterior angles in any polygon is always 360 degrees.

The measure of each interior angle of a regular polygon is given by $$\frac{(n-2)180}{n}$$ , where n is the number of sides.

The measure of each exterior angle of a regular polygon is $$\frac{360}{n}$$ , where n is the number of sides.

The sum of the interior angles of a polygon with 5 sides is $$180(5-2) = 540$$ degrees.

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.

The polygon has 5 sides.

The polygon has 8 sides.

The sum of interior angles increases by 180 degrees for each additional side.

As the number of sides increases, the measure of each exterior angle decreases.