Question

If an exterior angle of a regular polygon is 21.2º, how many sides does the polygon have?

Answer 1

Answer:

option 4.    17

Step-by-step explanation:

sum of angles = exterior angle x n

360° = 21.2° n

n = 360 / 21.2

n = 17

Answer 2

Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

What is  polygon?

" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."

Formula used

360° = (Exterior angle of polygon ) × ( number of sides of polygon)

According to the question,

Given,

Exterior angle of a regular polygon =  21.2º

'n' represents the number of sides

Substitute the value in the formula to get number of sides,

$360\°= (21.2\°) (n)$

⇒ $n = \frac{360\°}{21.2\°}$

⇒ $n= 16.98$

⇒ n≈ 17 sides

Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

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