The following can not be an angle of rotation of an object having rotational symmetry

$30 °$

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$18 °$

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$144 °$

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$17 °$

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Solution

The correct option is D
$17 °$

We know that if the angle of rotation is $x °$ then the order of rotation will be = $\frac{360 °}{x °}$
Now from the above formula, we can see that for the order of rotation to be an integer, the angle of rotation must be a factor of $360$
As we have given the angle of rotation is $17 °$ Which is not a factor of $360$ .
Hence, it is not possible for an object to have an angle of rotation as $17 °$ .

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