josephnorris089 josephnorris089
  • 02-09-2020
  • Mathematics
contestada

a polygon has an interior angel sum of 1800 degrees. how many sides must the polygon have

Respuesta :

Stephen46
Stephen46 Stephen46
  • 02-09-2020

Answer:

The polygon has 12 sides

Step-by-step explanation:

The sum of interior angles of a polygon is given by

( n - 2) × 180

where

n is the number of sides

From the question the sum is 1800°

Substitute the value into the above formula and solve for the number of sides

That's

( n - 2) × 180 = 1800

180n - 360 = 1800

180n = 1800 + 360

180n = 2160

Divide both sides by 180

n = 12

Therefore the polygon has 12 sides

Hope this helps you

Answer Link

Otras preguntas

How many hours are 180 minutes
Compute the value of the discriminant and give the number of real solutions to the quadratic equation: 3x^2 - 7x + 9 = 0
A movie starts at 7:00 pm and lasts 108 minutes. What time does the movie end?
find a common solution for each system of equations: y=3x+5 y=-5x-3
Is the E-CIG industry more "safe" than the actual tobacco companies? Why? If someone offered you E-CIGS than cigarettes would you say yes or no? Why?Full Paragr
how do u find the area of a triangle
Perimeter of a square with an area of 81cm2
All of the following are types of lyric poetry except; A. tankas. B. ballads. C. sonnets. D. madrigals.
David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gill was doubled and the number of
David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gill was doubled and the number of