Math, asked by mrjatt9568, 7 months ago

How many sides does a regular polygon have if the meausre of an exterir angle is 24 °

Answers

Answered by Anonymous
2

Answer:

15

Step-by-step explanation:

Number of angles of a polygon = number of sides

The sum of exterior angles of a polygon = 360⁰

So, measure of each angle = 24°

Or, number of exterior angles = 360/24

=15

So, number of sides = 15

Answered by mohithmanjunath1110
0

Answer:

Here, let the number of sides of the polygon be n  

So, the number of exterior angles is n  

Since it is a regular polygon, each exterior angles are equal to one another.

∴ The sum of the exterior angles =360  

o

 

∴  Each angle =θ=  n 360  o

 

⟹n=  360 o / θ  

 Here θ=24  o

  ∴n= 360o  /24  o

 

​ =15

Hence, the answer is 15.

hope it helps

tq..........////////

Step-by-step explanation:

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