tluvslady
tluvslady tluvslady
  • 17-01-2021
  • Mathematics
contestada

If each interior angle of a regular polygon measures ​120 , how many sides does the polygon​ have?

Respuesta :

lizzziee
lizzziee lizzziee
  • 17-01-2021

Answer:

the ans is 6 sides i guess

Answer Link
ItzDevilGirl
ItzDevilGirl ItzDevilGirl
  • 17-01-2021

[tex]\huge\sf{Answer :- }[/tex]

Given :-

  • Each interior angle of regular polygon is 120°

To Find :-

  • Number of sides of the polygon

Formula :-

Interior angle of the polygon = [180(n - 2)]/n

where,

  • n = sides of the polygon

Solution :-

Let, The number of sides of polygon be n

By substituting values according to the formula,

➯ [180(n - 2)]/n = 120°

➯ 180n - 360 = 120n

➯ 180n - 120n = 360

➯ 60n = 360

➯ n = 360/60

➠ n = 6

Hence, The regular polygon have 6 sides

Answer Link

Otras preguntas

Taylor baked a cake to serve after dinner. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could have divide
can someone please tell me what the angle is
help please number 9, 10
6y-2(y+1)=3(y-2)+6 step by step
Explain how Austria and France contributed (positvely of negatively) in the unification of Germany?
what is 14 - 7/2? PS: i rlly need u guys help!!!
Analyze ways cultures have joined to creat a new , unique culture.List 2 influences and how they have changed)
Jamie says the value of 1.43 × (− 18/35) is close to −0.75. Student A says this estimate is reasonable because the product is negative and about half of 1.5. St
What point is located at (-3, 3)? ((er, where do you start from: -3 or 3?))
Where is the Panama hat from