1. The problem asks for the degree of rotation that maps a regular hexagon onto itself when rotated about its center. 2. A regular hexagon has 6 equal sides and 6 equal angles. 3. The key property is that the hexagon is symmetric under rotations of $$\frac{360^\circ}{6} = 60^\circ$$ increments. 4. This means rotating the hexagon by 60°, 120°, 180°, 240°, 300°, or 360° will carry it onto itself. 5. Among the given options (100°, 60°, 50°, 30°), only 60° is a multiple of $$\frac{360^\circ}{6}$$. 6. Therefore, the degree of rotation that carries the Saltillo tile onto itself is **60°**. Final answer: **60°**