Aregular polygon first maps directly onto itself after rotating 120 degrees. how many sides does the polygon have?

The answer is 3.

Step-by-step explanation: We are given that a regular polygon maps directly onto itself after rotating 120°. And we need to calculate the number of sides of the polygon.

We know that in case of a regular polygon, The angle of rotation (α) after which the polygon maps onto itself is equal to 360° divided by the number of sides of the polygon (n).

i.e.,

Here, α = 120°. Therefore, we have

So, the number of sides of the polygon is 3. From here we can say that the polygon is an equilateral triangle.

the answer i think is a)

step-by-step explanation: