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

Maria Huey

Maria Huey

Answered question

2021-12-19

Explain, please, what is the measure of one interior angle of a regular nonagon?

Answer & Explanation

Heather Fulton

Heather Fulton

Beginner2021-12-20Added 31 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.
1260÷9=140
So, the measure of the angle of a regular nonagon is 140 degrees.
Fasaniu

Fasaniu

Beginner2021-12-21Added 46 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
(N2N)×180°
(929)×180°=140°
RizerMix

RizerMix

Expert2021-12-29Added 656 answers

Each interior angles of a regular nonagon measures 140 degree.

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