Question

Find the measure of each exterior angle of a regular pentagon, hexagon, heptagon, and polygon of $15$ sides.

Answer 1

Solve for the value of each exterior angle of a regular pentagon:

The given geometry is a regular pentagon.

Thus, the number of sides, $n=5$.

It is known that the sum of all exterior angles of a polygon is $360°$.

As the given pentagon is regular, so the value of each exterior angle can be given by $\left(\frac{360°}{n}\right)=\left(\frac{360°}{5}\right)=72°$.

Therefore, the value of each exterior angle of a regular pentagon is $72°$.