Question

can we have a rotational symmetry of order more than 1 whose angle of rotation is 1)45* 2)17*​

Answer 1

It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1.

It can be checked that 45° is a factor of 360° but 17° is not. Therefore, the figure having its angle of rotation as 45° will have its rotational symmetry of order more than

1. However, the figure having its angle of rotation as 17° will not be having its rotational symmetry of order more than 1.