Question

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 75 degree

Answer 1

And also we know,In a complete turn (of 360°), the number of times. the figure coincides with its original position is called its order of rotational symmetry.

if angle of rotation is 75° then, order of rotational symmetry = 360°/75° ≠ integer

here it is clearly shown that, order of rotational symmetry doesn't a positive integer { or whole number} so, it doesn't has rotational symmetry.

so, it has no any rotational symmetry.