How To Calculate A Shape’S Outer Angles?

The exterior angles of a polygon are formed by extending one side of the polygon and a line extended from the next side. They are formed by adding up the interior angles of a regular polygon. The sum of exterior angles of a polygon is 360°, and to find the measure of a single interior angle of a regular polygon with n sides, we calculate the sum interior angles or (red n-2) cdot 180.

The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides. The sum of exterior angles of any polygon is always 360∘, 360 ∘, 360^(circ), 360∘, regardless of the number of sides the polygon has. For a regular polygon, the exterior angles of a regular polygon always sum to 360°, so to find one exterior angle, simply divide 360° by the number of sides.

In a Cartesian plane, the sum of the exterior angles of a polygon is always 360°. This lesson shows how to locate interior and exterior angles in a regular polygon, use formulas to calculate their individual values and their sums, and solve problems involving exterior angles.