Question

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?
A. 75°
B. 45°
C. 36°
D. 30°

Answer 1

ThE ANSWER IS d) 30 DEGREES

Answer 2

D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30