Question

If a regular polygon has 5 sides what is the smallest angle of rotational symmetry for the polygon? If necessary round to the hundreds place.

Answer 1

The smallest angle of rotational symmetry for the polygon is known to be 72 degrees.

What is the angle of rotational symmetry for a regular 5 sided shape?

This is said to be 72 degrees. Note that  the rotational Symmetry of Pentagons is one that have a lot of sides.

So, a regular pentagon is said to have five equal sides, it means that the polygon can be rotated five times and still be the same like the original.

Hence:

Let n = rotation symmetry

5 = 360/n

n x 5 = 360

n = 360/5

n =  72

Therefore, The smallest angle of rotational symmetry for the polygon is known to be 72 degrees.

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