Polygons are closed geometric figures made with straight lines.
Sum of interior angels
The sum of the interior angles of a convex polygon of ‘n’ sides is given as:
S = (n – 2) × 180°
Examples:
Triangle has 3 sides, sum of interior angles is (3 – 2) × 180° = 180°
Pentagon has 5 sides, sum on interior angles is (5 – 2) × 180° = 3 × 180° = 540°
Interior angle
The measure of interior angel of a regular polygon with ‘n’ sides is given by sum of the interior angles divided by the number of side.
Example:
The sum of interior angles of a hexagon is (6 – 2) × 180° = 720°
Measure of each angle of regular hexagon = 720/6 = 120°
Exterior angle
The interior angle and exterior angle add up to 180°.
Interior angel + Exterior angel = 180°
Exterior angle = 180° – Interior angle
Example:
Interior angle of a pentagon measures 108°.
Exterior angle of a pentagon = 180° – 108° = 72°
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