Question

A costume designer for a dance team is creating pinwheels for the dancers to use as a prop. What would the measure of each exterior angle have to be in order for the pinwheel to be a regular pentagon?

Answer 1

the anwser is 72 degrees.

Answer 2

Answer: The measure of each exterior angle is 72° .

Explanation:

Since we have given that

There is regular pentagon.

Regular shape has all equal sides.

Number of sides a pentagon has = 5

Sum of exterior angle of any polygon = 360°

So, Each exterior angle would be

`\frac{360^\circ}{\text{Number of sides}}\\\\=\frac{360^\circ}5}\\\\=72^\circ`

Hence, the measure of each exterior angle is 72° .