Assume each side is a straight line segment.
With 3 sides you can make 1 triangle with a sum of interior angles = 180°.
With 4 sides you can make 2 triangles with a sum of interior angles = 2 x 180° = 360°.
With 5 sides you can make 3 triangles with a sum of interior angles = 3 x 180° = 540°.
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The exterior angles of a 15 sided shape add up to 360 degrees
720
360
180
540