$$ 30 points$$ david uses drawing software to rotate the regular hexagon about its center. through which angle measures can he rotate the hexagon to map it onto itself?

60°, 120°, 180°, 240°, 300° and 360°

Step-by-step explanation:

We know that  360° is a full rotation and a regular hexagon has 6 angles. So, they will map onto itself every 60°.

degrees.

Hence, we will take the multiples of 60 in the range:

degrees

So, we get the following angles:

60°, 120°, 180°, 240°, 300° and 360°.

(x) - (y) = (1 + 4i)