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 calculated using the formula 360°/Number of sides of the polygon. For a regular polygon with n sides, the measure of a single interior angle is determined by calculating the sum of interior angles or (n – 2) ⋅ 180 (n – 2) ⋅ 180.
An exterior angle in a regular polygon can be found by dividing 360° by the number of sides (𝒏). For example, for an eight-sided shape (octagon), divide 360° by 8 to find the size of an exterior angle. In all polygons, there are two sets of exterior angles: one that goes around clockwise and the other that goes around counterclockwise.
The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides. Since all interior angles in a regular polygon are equal, we can say that the size of a single exterior angle for a regular hexagon is equal to 6.
For a regular octagon, the size of each exterior angle in the regular octagon is 360° ÷ 8. 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.
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