Respuesta :

mhanifa

Answer:

  • 90 sides

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

  • S = 180(n - 2), where S- sum of interior angles, n - number of sides

We have now:

  • 176n = 180(n - 2)
  • 176n = 180n - 360
  • 4n = 360
  • n = 90

It's equilateral polygon

  • Sum of interior angles=176n.

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

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