mayatamer005
mayatamer005 mayatamer005
  • 23-03-2020
  • Mathematics
contestada

A regular polygon has 23 sides.
Find the size of each interior angle.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 23-03-2020

Answer:

Step-by-step explanation:

exterior angle = 360/23 = 15 15/23

Inetrior angle = 180- 15 15/23 =

[tex]=180-15\frac{15}{23}\\\\=180-\frac{360}{23}\\\\=\frac{180*23}{23}-\frac{360}{23}\\\\ =\frac{4140-360}{23}\\\\=\frac{3780}{23}\\\\=164\frac{8}{23}[/tex]

Always sum of all exterior angle of any regular polygon is 360

Inetrior angle and exterior angle are linear pair

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