can a figure possessing rotational symmetry have an angle of rotation of measure ?
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angle of rotation= 360 degrees divided by no. of sides of polygon
order of rotation = 360 degrees divided by angle of rotation
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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. (i) It can be checked that 45° is a factor of 360°. Therefore, the figure having its angle of rotation as 45° will have its rotational symmetry of order more than 1.
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