Respuesta :

I think you are supposed to divide the sum of the interior angles of the polygon (360 degrees) by the exterior angles of the polygon (72 degrees). When you do this: 360 / 72 = 5 sides.

This would be a pentagon.
JeanaShupp

Answer: 5 sides.


Step-by-step explanation:

We know that the total sum of all exterior angles of a regular polygon = 360°

If each exterior angle measures 72 degrees.

Then the number of sides of the regular polygon

[tex]n=\frac{360^{\circ}}{\text{measure of each exterior angles}}=\frac{360^{\circ}}{72^{\circ}}=5[/tex]

Therefore,  the regular polygon has 5 sides if each exterior angle measures 72 degrees.

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