No, a figure cannot have a smallest angle of symmetry of 17° because 17° is not a divisor of 360°. For rotational symmetry, the angle must divide 360° evenly.
Class 6 NCERT Ganita Prakash Chapter 9 Symmetry
class 6 Mathematics Textbook Chapter 9 question answer
A figure cannot have a smallest angle of symmetry of 17° because it is not a divisor of 360°. For rotational symmetry to exist, the smallest angle must divide 360° exactly. In the case of 17°, it does not fit this criterion, meaning the figure cannot have rotational symmetry with that as the smallest angle. Regular polygons and other symmetrical shapes must have angles that divide evenly into 360° to display true rotational symmetry.
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