if the sum of the interior angle of a polygon is 1080° , find the sum of its exterior angles
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360 and if the polygon is regular then it is an octagon.
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An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8.
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