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k0ka [10]
3 years ago
6

The regular nonagon has rotational symmetry of which angle measures? Check all that apply.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
Consider the center of the nonagon. If we join the center to all the vertices, the central angle of 360°, is divided into 9 equal angles, each with a measure of:

360°/9=40°

So to a nonagon rotated 40°, clockwise or counterclockwise, is indistinguishable from the original one. 

similarly if we rotate 80 ° c.wise or c.c.wise 

in general, a nonagon has a rotational symmetry of 40°n,

where n∈{...-3, -2, -1, 0, 1, 2, 3}...

where 40°n, for n negative, means we are rotating clockwise.


Answer: any angle which is a multiple of 40°

Naily [24]3 years ago
8 0

Answer:

1)40

3)120

4)240

6)320    

Step-by-step explanation:

- got it right on edg.


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