Example 1:
- Rotation of 30 degrees: This will turn the dodecagon by an angle of 30 degrees in a counterclockwise direction. After a full rotation by 360 degrees, the dodecagon will align with itself since 360 divided by 30 equals 12. Therefore, this rotation will preserve the regular dodecagon's symmetry and position.
Example 2:
- Rotation of 60 degrees: This will turn the dodecagon by an angle of 60 degrees in a counterclockwise direction. Similar to the previous example, after a full rotation by 360 degrees, the dodecagon will align with itself since 360 divided by 60 equals 6. Thus, this rotation also preserves the regular dodecagon's symmetry and position.
Provide two different examples of the rotation less than 75 but greater than 0 that will turn a regular dodecagon onto itself
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