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This is the definition of a "regular" polygon.
it depends what kind of polygon but the sum of the angles will equal a # divisible by 90
A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.
A polygon can have any kind of angles: acute, right, obtuse and reflex. An angle can have any value in the range (0, 360) degrees excluding 180 degrees.
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.