Explain, please, what is the measure of one interior angle

Maria Huey 2021-12-19 Answered
Explain, please, what is the measure of one interior angle of a regular nonagon?

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Heather Fulton
Answered 2021-12-20 Author has 466 answers
All sides are the same length and all interior angles are the same size.
To find the measure of the angles, we know that the sum of all the angles is 1260 degrees (from above). And there are nine angles.
\(\displaystyle{1260}\div{9}={140}\)
So, the measure of the angle of a regular nonagon is 140 degrees.
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Fasaniu
Answered 2021-12-21 Author has 642 answers
Sum of all interior angles of any convex N-sided polygon equals to (N−2)180°
In N-sided regular polygon all N angles are equal, so each is equal to
\(\displaystyle{\left({\frac{{{N}-{2}}}{{{N}}}}\right)}\times{180}°\)
\(\displaystyle{\left({\frac{{{9}-{2}}}{{{9}}}}\right)}\times{180}°={140}°\)
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RizerMix
Answered 2021-12-29 Author has 9145 answers
Each interior angles of a regular nonagon measures 140 degree.
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