2nd November 2019

13

What is the sum of the interior angle of a Nonagon?

1260°

Similarly one may ask, what are the exterior angles of a regular Nonagon?

All sides are the same length (congruent) and all interior angles are the same size (congruent). 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 So, the measure of the angle of a regular nonagon is 140 degrees.

What is the sum of the measures of the exterior angles of a convex Nonagon?

Theorem 40: If a polygon is convex, then the sum of the degree measures of the exterior angles, one at each vertex, is 360°. Example 1: Find the interior angle sum of a decagon. A decagon has 10 sides, so: Example 2: Find the exterior angle sums, one exterior angle at each vertex, of a convex nonagon.
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