Interior Angles of Polygons

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.

To find the measure of one interior angle in a regular polygon, use the formula: (n - 2) × 180° / n, where n is the number of sides.

A regular polygon is a polygon with all sides and all angles equal.

The interior angle sum of a triangle is always 180°.

The interior angle sum of a quadrilateral is always 360°.

A pentagon has 5 sides.

The interior angle sum of a hexagon is 720°.

The sum of the interior angles of an octagon (8 sides) is (8 - 2) × 180° = 1080°.

The measure of one interior angle in a regular octagon is (8 - 2) × 180° / 8 = 135°.

As the number of sides increases, the sum of the interior angles increases according to the formula (n - 2) × 180°.