sabina7136
sabina7136 sabina7136
  • 05-12-2018
  • Mathematics
contestada

How many sides are there on a convex polygon if the sum of the interior angles is 3240?

18

19

20

21

Respuesta :

smmwaite
smmwaite smmwaite
  • 05-12-2018

Answer:

20

Step-by-step explanation:

Let the number of sides be n

One exterior angle = 360/n

Exterior angle + interior angle = 180

Interior angle = 180 - Exterior angle

                      = 180 - 360/n

Sum of interior angle = n(180 - 360/n) = 3240

n(180 - 360/n) = 3240

180n - 360 = 3240

180n = 3240 - 360

          = 3600

n = 3600/180

   = 20


Answer Link

Otras preguntas

Rico is making4 batches of mexican rice. each batch needs 2/3cup of corn. He only has a1/3-cup measure.How manytimes must Rico measure 1/3cup of corn to have en
Rico is making4 batches of mexican rice. each batch needs 2/3cup of corn. He only has a1/3-cup measure.How manytimes must Rico measure 1/3cup of corn to have en
How do you work out the problem 84 divided by4
how is the expression of sex linked genes both  similar to and different from the expression of autosomal genes?
What is a communicable disease ?
How did the depression affect women and children?
Which of the following is formed at a collision zone?Continental rift valleyVolcanic island chainMountain rangeDeep-ocean trench
what is the simplest square root of 1345? no decimals please
What culture believes health is harmony between man and nature?
Rico is making4 batches of mexican rice. each batch needs 2/3cup of corn. He only has a1/3-cup measure.How manytimes must Rico measure 1/3cup of corn to have en