Rhianna is drafting an equilateral polygon with five sides. At each vertex, she extends the line to form an exterior angle. What is the angle measure of any one exterior angle?(1 point)

Question

Responses

72°
72°

108°
108°

540°
540°

120°

Answer 1

To find the measure of an exterior angle of a polygon, you can use the formula:

$$\text{Exterior Angle}=\frac{360°}{n}$$

where $n$ is the number of sides of the polygon. In this case, Rhianna is working with a polygon that has five sides (a pentagon).

Substituting $n=5$:

$$\text{Exterior Angle}=\frac{360°}{5}=72°$$

Therefore, the angle measure of any one exterior angle is 72°.