To find the possible degrees of rotation that will turn a regular dodecagon onto itself, we need to consider the rotational symmetry of the dodecagon.
A regular dodecagon has 12 equal sides and 12 equal angles, each measuring 150°. The total degrees in a full rotation is 360°.
To find the degrees of rotation that will turn the dodecagon onto itself, we need to divide 360° by the number of sides of the dodecagon.
360° / 12 sides = 30°
Therefore, one possible degree of rotation is 30°.
Another possible degree of rotation can be obtained by multiplying the first degree of rotation by an integer greater than 1. For example, 30° x 2 = 60°.
Hence, two different degrees of rotation less than 75° but greater than 0° that will turn a regular dodecagon onto itself are 30° and 60°.
Provide two different degrees of rotation less than 75°
but greater than 0°
that will turn a regular dodecagon onto itself.
1 answer
1 answer