The exterior angles of a hexagon are the angles between any side of a shape and a line extended from the next side. The sum of the exterior angles of any polygon is always 360^(circ). To find each of the exterior angles of a regular hexagon, two methods are used: calculating the measure of individual exterior angles and finding the sum of all six angles.
A regular hexagon has six internal and six exterior angles, with the sum of all six angles being 720°. The interior angles of a regular hexagon measure 120°, while the exterior angles measure 60°. The sum of the interior angles of a regular hexagon is 720°.
Hexagonal shapes are classified into several types based on the measure of sides and angles. A regular hexagon has six equal sides, so each exterior angle is 360/6 = 60 degrees. A pair of interior and exterior angles of any polygon add to 180∘ 18 0 ∘ 180^(circ) 180∘ because they form a straight line.
Convex hexagons have six exterior angles that add to 360°, and each interior angle of a given regular hexagon is 120°. To find the sum of the exterior angles of a regular hexagon, use the formula degrees = (of sides – 2) * 180, which gives us 720 degrees.
In conclusion, the exterior angles of a regular hexagon are 120° each, and the sum of the interior angles of a regular hexagon is 6 times 360°.
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