Can a figure possessing rotational symmetry have an angle of rotation of measure:
(d) 17 degree, (e) 15 degree, (f) 7 degree
(Please answer it only experts).

Dear student ,

A figure having rotation symmetry has an angle of rotation that must be a factor of 360° 
I.e , the angle must divide 360° 
17° , 7° do not divide 360° 
=> can't be the angles of rotation