Respuesta :

Sum of all exterior angles = 360 

Number of sides = 360 ÷ 15 = 24

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Answer: The value of n is 24.
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Value of n in regular n-gon is equals to 24.

What is n-gon in mathematics?

" n-gon means polygon with 'n' number of sides. It is two dimensional closed figure with n number of straight sides."

Formula used

Number of sides 'n' = 360°/ (Measure of an exterior angle)

According to the question,

'n' represents number of sides

Measure of exterior angle of a regular n-gon = 15°

The sum of the exterior angles in any regular n-gon = 360°

Substitute the value in the formula we get,

   n = 360° / 15°

⇒ n = 24

Hence, value of n in regular n-gon is equals to 24.

Learn more about n-gon here

https://brainly.com/question/18801858

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