prettybrowneyes922
prettybrowneyes922 prettybrowneyes922
  • 22-01-2021
  • Mathematics
contestada

how many sides does a polygon have if the measure of each exterior angle is 18? what is the sum of the measures of the interior angles?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-01-2021

9514 1404 393

Answer:

  • 20 sides
  • 3240°

Step-by-step explanation:

The sum of measures of exterior angles is 360°, so the number of sides (n) can be found from ...

  18° × n = 360°

  n = 360/18 = 20

The polygon has 20 sides.

__

The sum of measures of interior angles will be ...

  20(180° -18°) = 3240° . . . . sum of interior angles

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