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$ 30 POINTS$ PLEASE HELP!!!!

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?

Respuesta :

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

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°.

[tex]\frac{360}{6}=60[/tex] degrees.

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

[tex]0\leq x\leq 360[/tex] degrees

So, we get the following angles:

60°, 120°, 180°, 240°, 300° and 360°.

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