The interior angle of an n-sided polygon total 90(2n - 4) degrees
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180 - interior angle = exterior angle
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
Interior angles: (12-2)*180 = 1800 degrees Each interior angle: 1800/12 = 150 degrees
To work out the angle of any 'perfect shape' you use this formula: interior angle =((number of sides - 2) x 180)/ number of sides for an octagon: interior angle =((8-2) x 180 )/ 8 = 135 degrees
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.