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

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