regular hexagon makes L

A regular hexagon can be turned onto itself when the angle of rotation is a multiple of the angles between its vertices. The angle between adjacent vertices of a regular hexagon is:

\[
\frac{360^\circ}{6} = 60^\circ.
\]

Thus, the hexagon will turn onto itself for any multiple of this angle:

- 0° (no turn)
- 60° (1 vertex turn)
- 120° (2 vertex turns)
- 180° (3 vertex turns)
- 240° (4 vertex turns)
- 300° (5 vertex turns)

These angles can be represented as \( n \times 60^\circ \), where \( n \) is an integer from 0 to 5.

From your list, the degrees of turns that allow the regular hexagon to turn onto itself are:

- 60
- 120
- 180
- 240
- 300

The other angles (30, 90, 150, 210, 270, and 330) do not align with the symmetry of the hexagon and thus do not rotate it onto itself.

**So, the correct answers are:**
- 60
- 120
- 180
- 240
- 300