ericamcfaddentx
ericamcfaddentx ericamcfaddentx
  • 04-08-2018
  • Mathematics
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what is the sum of the measures of the exterior angles in a nonagon? explain

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frika
frika frika
  • 04-08-2018

The sum of the measures of all exterior angle in a polygon with n sides is always [tex] 360^{\circ} [/tex].

Nonagon is a polygon with 9 sides. If this nonagon is regular or equiangular, then all interior angle are congruent, and therefore all exterior angles are congruent. Then the measure of each exterior angle is [tex] \dfrac{360^{\circ}}{9} =40^{\circ} [/tex].

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