Question

$$ 30 POINTS$$ PLEASE HELP!!!!

Answer 1

Answer:

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°.

$\frac{360}{6}=60$ degrees.

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

$0\leq x\leq 360$ degrees

So, we get the following angles:

60°, 120°, 180°, 240°, 300° and 360°.

Answer 2

60°, 120° and 180° are the angles at which it will map onto itself.