The exterior angles of a regular hexagon are the angles between the hexagon and the extended line from the next side. The sum of the exterior angles of any polygon is always 360 degrees. To calculate the measure of individual exterior angles of a regular hexagon, two methods are used: the exterior angle sum theorem and the formula for the sum of interior angles.
A regular hexagon has interior angles of 120° and exterior angles of 60°. The area of a regular hexagon is approximately 2.5980762 × s2, where s is the side length. The interior angles of a regular hexagon measure 120°, while the exterior angles measure 60° each. The sum of the interior angles of a regular hexagon is 6 times 120°, which is equal to 720°.
The exterior angle of a regular hexagon is 60 degrees, as the sum of all exterior angles of a polygon is 360o. To find the exterior angle, subtract the interior degree from 180, and the exterior angle of a regular hexagon is 60 degrees. In both cases, each exterior angle of a regular hexagon is 60°, and the measure of all exterior angles will be the same. Therefore, the measure of each exterior angle = 360∘/6=60∘.
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