The exterior angles of a polygon are formed by extending one side of the polygon and the line extended from the next side. They are supplementary to one of the interior angles of the polygon, having its vertex at the vertex of that interior angle. The measure of an exterior angle of a polygon can be found by dividing the sum of the interior angles by the number of sides.
For example, for a triangle, the sum of the exterior angles is 360°/n. In all polygons, there are two sets of exterior angles: one that goes around clockwise and the other that goes around counterclockwise. To calculate the size of one exterior angle, divide 360° by the number of sides in the polygon.
In a regular polygon, the size of each exterior angle is equal to 360^o/N. For a general polygon, the exterior angles in a polygon are found by using the formula 360°/Number of sides of the polygon. If there are 9 sides in the polygon, then each exterior angle is equal to 360^o/N.
To find the value of an exterior angle of a polygon, one needs to divide 360 by the number of sides or subtract the value of an interior angle from 180. This knowledge can be used to solve problems and prepare for exams such as Edexcel, AQA, and OCR GCSE exams.
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