Any measure you like. The only constraint is that the sum of all the interior angles - which can all be different - is 3960 degrees.
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If one interior angle is 165 degrees, find the number of sides of the polygon.
It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.
interior angle of an n-sided polygon = (180(n-2)/n)°interior angle of a 24-sided polygon = (180x22/24)° = 165°
180(n-2)/n 180(24-2)/24 180(22)/24 3,960/24 165 Thus, each angle in a regular polygon that has twenty four sides is 165 degrees, and the sum of all the angles is 3,960 degrees.
15 sides