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If it is a regular 5 sided pentagon then its order of rotational symmetry is 5
No - a pentagon has 120 degree rotational symmetry.
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
5
A general pentagon may have no symmetries at all. A regular pentagon has five symmetry axes - each one connecting a vertex with the middle of the edge opposite this vertex. A regular pentagon also has rotational symmetry - if you rotate it by any multiple of 72 degrees clockwise or anti-clockwise you get a regular pentagon as well. Please also see the related link below.