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# Can we have a rotational symmetry of order more than 1 whose angle of rotation is: 45^o? 17^o?

7. Can we have a rotational symmetry of order more than 1 whose angle of rotation is:

$(i)\: 45^{o}?$                 $(ii)\: 17^{o}?$

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We can observe that the angle of rotation is the factor of $360 \degree$,then it will have rotational symmetry of order more than 1.

(i) $45^{o}$ is a factor of $360 \degree$ so the figure having its angle of rotation as $45^{o}$ will have rotational symmetry of order more than 1.

(ii)$17^{o}$ is not a factor of $360 \degree$ so the figure having its angle of rotation as $17^{o}$ will not have rotational symmetry of order more than 1.

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