A regular dodecagon has 12 sides, and it will turn onto itself after any rotation that is a multiple of its internal angle, specifically \( \frac{360^\circ}{12} = 30^\circ \).
To find two different degrees of rotation less than 75 degrees but greater than 0 degrees that will turn a regular dodecagon onto itself, we can use the multiples of \( 30^\circ \).
The valid rotations are:
- \( 30^\circ \) (1 × 30)
- \( 60^\circ \) (2 × 30)
Therefore, a regular dodecagon will turn onto itself after a 30 degree and 60 degree rotation.
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