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To determine the degrees of turns that allow a regular hexagon to turn onto itself, we need to look at the angles based on its symmetries. A regular hexagon has 6 rotational symmetries, which means it can be rotated through angles that are multiples of \( \frac{360°}{6} = 60° \).
The valid angles are therefore:
- \( 0° \) (no rotation)
- \( 60° \)
- \( 120° \)
- \( 180° \)
- \( 240° \)
- \( 300° \)
- \( 360° \) (full rotation)
From the given options, the angles that satisfy these conditions and allow the hexagon to map onto itself are:
- \( 60° \)
- \( 120° \)
- \( 180° \)
- \( 240° \)
- \( 300° \)
- \( 360° \)
So the correct selections are:
- 60
- 120
- 180
- 240
- 300
- 360
Options such as \( 30, 90, 150, 210, 270, \) and \( 330 \) do not map the hexagon onto itself, so they are not correct.