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°

the image is an 11 sided polygon

Answer 1

To find the measure of one 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.

For a polygon with five sides (a pentagon), we substitute \(n = 5\):

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

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

The correct response is:

72°