Question

Which angle of rotation will carry the figure onto

itself?
1) 60°
2) 108°
3) 216
4) 540°

Answer 1

pretty sure it’s 60°

Answer 2

The angle of rotation will carry the figure onto itself is 216°

What is the angle of rotation?

The measurement of the angle created when a ray pivots at a vertex, also known as the center of rotation, is known as an angle of rotation. Angles can be measured in four different ways: degrees, radians, gons, and turns.

The measure of angle at the center of the polygon is 360 degrees. i.e.
`\theta=360` The number of sides of the regular polygon is 5 hence
`n=5`

The smallest angle of rotation that maps the polygon onto itself =
`( \theta)/(n)`

`\alpha =(360)/(5)` =72

Hence, Other angles that map the shape onto itself, must be a multiple of 72, which will now be 72 , 144, 216, 288