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)

Answer 1

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

\[ \text{Exterior Angle} = \frac{360^\circ}{n} \]

where \( n \) is the number of sides in the polygon. For a polygon with five sides (a pentagon), \( n = 5 \).

Now, substituting \( n \) into the formula:

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

Therefore, the measure of any one exterior angle of the equilateral polygon with five sides is \( 72^\circ \).