Formula For Determining A Polygon’S Outer Angle?

The exterior angles of a polygon are formed by extending one side of the polygon and its adjacent side at the vertex. 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. An exterior angle is the angle between any side of a shape and a line extended from the next side.

For GCSE maths (Edexcel, AQA, and OCR), the sum of exterior angles for a polygon is calculated using the formula 360°/n, where n is the total number of sides. The value of an exterior angle can be obtained by subtracting the interior angle. In all polygons, there are two sets of exterior angles: one that goes around clockwise and the other that goes around counterclockwise.

The size of an exterior angle can be determined by dividing the sum of the interior angles by the number of sides. For example, for a triangle, the sum of the interior angle is 180°. In every polygon, the exterior angles always add up to 360°.

To find the value of an exterior angle in a polygon, one needs to divide 360 by the number of sides or subtract the value of an interior angle from 180. For example, to find one exterior angle of a regular hexagon, one can divide the sum of the exterior angles, 360°, by the number of sides/angles of the hexagon.