Aregular dodecagon has 12 sides. what is the smallest angle of rotation about its center that carries a dodecagon onto itself?

30°                                

Step-by-step explanation:

No. of sides in dodecagon = 12

No. of angles = 12

Since its regular, all sides and all angles are equal.

total rotational angle = 360°

since no. of angles = 12

and all angles are equal,

rotational angle at which, it will co - incide with itself =

                                                                                     = 30°

A regular dodecagon will be onto itself it is rotated about the central angle 30°.

the answer is 489

step-by-step explanation: