What is the sum of the measures of the exterior angles in a nonagon? explain

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

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

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 $\dfrac{360^{\circ}}{9} =40^{\circ}$ .

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