sama2287
sama2287 sama2287
  • 18-04-2021
  • Mathematics
contestada

Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.​

Respuesta :

maggielee724
maggielee724 maggielee724
  • 18-04-2021

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°

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