Math, asked by logicalfacts93, 9 days ago

each exterior angle of a regular polygon is 22.5 degree find the number of sides of the polygon​

Answers

Answered by velpulaaneesh123
5

Answer:

16

Step-by-step explanation:-

They have given measure of

Each exterior angle = 22.5

Now,

⇒ 22.5 = 360/n

⇒ n = 360/22.5

⇒ n = 16

The number of sides in the polygon is 16

Answered by smithasijotsl
4

Answer:

The number of sides of the regular polygon  = 16

Step-by-step explanation:

Given,

Each exterior angle of regular polygon = 22.5°

To find,

The number of sides of the polygon

Recall the formula,

Each exterior angle of a regular polygon = \frac{360}{n}, where n is the number of sides of the polygon

Solution:

Since it is given that Each exterior angle of regular polygon = 22.5° we have

\frac{360}{n} = 22.5

22.5n = 360

n = \frac{360}{22.5}

n = 16

∴The number of sides of the regular polygon  = 16

#SPJ2

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