iamablessing2030
iamablessing2030 iamablessing2030
  • 09-10-2021
  • Mathematics
contestada

if the sum of interior angles of a polygon is 30 right angles how many sides does the polygon

Respuesta :

jimrgrant1 jimrgrant1
  • 09-10-2021

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 30 × 90° = 2700° , then

180° (n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

Answer Link
kamillyferreirak0506
kamillyferreirak0506 kamillyferreirak0506
  • 09-10-2021

Answer:

17 sides

Step-by-step explanation:

-Let the number of sides of the polygon be n

The sum of the interior angles of a polygon of n sides is.180° (n−2)

The sum of interior angles =30×90°

30×90° =180°(n−2)

15=n−2

n=17

Answer Link

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