The interior angles of a 40 sided polygon add up to 6840 degrees
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If it's a regular polygon then it will have 40 sides
concave polygon
sum interior angles = (number of side - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 6840° ÷ 180° + 2 = 40 It has 40 sides.
The sum of the interior angles of a convex polygon with n sides is given by (n-2)x180o. So for a 40 sided polygon n=40; thus (40-2)x180o = 38x180o = 6840o.
A polygon has two types of measurements: side lengths and interior angles. The number of side lengths is equal to the number of sides the polygon has, while the number of interior angles is always equal to the number of sides. So, a polygon has two measurements: side lengths and interior angles.