Question

a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$Shape: Nonagon$

Required

Angles of rotation that would not map the shape on itself

Side of a nonagon is:

$Sides = 9$

and a complete rotation is:

$Complete\ Rotation = 360\°$

To start with, we calculate a possible angle of each rotation:

This is calculated by dividing the complete rotation by number of sides

$Each\ Rotation = \frac{360}{9}$

$Each\ Rotation = 40$

The question lacks option; so, it's difficult to give a specific answer.

However, I'll give a generalized answer

For the nonagon to map on itself, the angle must be a multiple of the calculated angle of rotation (40)

i.e.

$Possible\ Angles = 40,80,120,160,200,240,280,320,360......$

Any angle different from the above listed angles (or any other multiple of 40 not listed above) answers the question.