Respuesta :
72°
the sum of the exterior angles of a polygon = 360°
for a pentagon with 5 sides the
exterior angle = [tex]\frac{360}{5}[/tex] = 72°
Answer:
Measure of an exterior angle of a regular pentagon is 72°.
Step-by-step explanation:
Measure of an exterior angle of a regular polygon is calculated by
Exterior angle = [tex]\frac{360}{\text{Number of sides of the polygon}}[/tex]
= [tex]\frac{360}{n}[/tex]
If the regular polygon is a pentagon then measure of the exterior angle will be
= [tex]\frac{360}{5}[/tex]
= 72°
Therefore, measure of an exterior angle of a regular pentagon is 72°.
