Nonagon interior angles


Asked by maham237 @ in Mathematics viewed by 262 People


What are the measures of each interior angle and each exterior angle of regular nonagon ANJOLIQUE? Can someone please help answer this? thanks!

Answered by maham237 @



A regular nonagon is 9-sided polygon with all congruent interior angles and congruent sides. If all interior angles are congruent, then all exterior angles are congruent too.

The sum of the measures of exterior angles of an arbitrary n-sided polygon is equal to 360°. Therefore, the measure of exterior angle of regular nonagon is:

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

Then the measure of each interior angle of regular nonagon is equal to

180^{\circ}-40^{\circ}=140^{\circ}.

Answer: the measure of each interior angle is 140^{\circ}, the measure of each exterior angle is 40^{\circ}.


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