Respuesta :

Answer:

16

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide by 22.5 to find the number of sides n

n = [tex]\frac{360}{22.5}[/tex] = 16

rahulsharma789888

It an be concluded tat the regular polygon has 16 sides

A regular polygon is a polygon with equal angles and equal sides.

The sum of exterior angles of a regular polygon is 360°

According to the given data

One exterior angle of a regular polygon measures 22.5 °

Let us consider that the regular polygon has "n" sides

So from the exterior angle sum property of the regular polygon we can write that

[tex]\rm n \times 22.5\textdegree = 360 \textdegree\\ n = 360\textdegree /22.5\textdegree \\n = 16[/tex]

So it an be concluded tat the regular polygon has 16 sides

For more information please refer to the link given below

https://brainly.com/question/22831826

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