2006-12-06 15:29:23 · 5 answers · asked by noturavaragepedestrain 1 in Science & Mathematics ➔ Mathematics
You mean a regular nonagon with congruent angles.
Make triangles from the center of the circumscribed circle to the vertices of the nonagon. You just made 9 isosceles triangles. The vertex angle of each is 360/9. The the sum of the base angles are 180-360/9, which is the measure of one of the angles of the nonagon.
2006-12-06 15:33:15 · answer #1 · answered by grand_nanny 5 · 4⤊ 0⤋
The formula for sum of interior angles of a polygon is:
180 * (n-2)
where n = number of sides in the polygon.
A nonogram has nine sides, so:
180*(9-2) = 180*(7) = 1260 total interior degrees
If the polygon is a regular polygon, then each interior angle is:
180(9-2)/9 = 1260/9 = 140 degrees
2006-12-06 15:36:16 · answer #2 · answered by skydiver1130 1 · 4⤊ 0⤋
Total sum of interior angles of a polygon of n sides is found by the equation:
S = 180(n-2)
For n = 9, S is 1260. Divide 1260 by 9 to get (for regular nonagon):
140
2006-12-06 15:33:55 · answer #3 · answered by Scythian1950 7 · 2⤊ 0⤋
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Each exterior angle = 360/9 = 40 degrees So, each interior angle = 180 - 40 = 140 degrees
2016-04-10 03:37:49 · answer #4 · answered by Anonymous · 0⤊ 0⤋
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RE:
what is the measure of each interior angle of a nonagon?
2015-08-19 03:34:01 · answer #5 · answered by Anonymous · 0⤊ 0⤋
140
2014-11-25 13:04:51 · answer #6 · answered by Dolly 1 · 0⤊ 0⤋
a regular nonagon 140°
2006-12-06 15:33:27 · answer #7 · answered by Anonymous · 0⤊ 0⤋
ANS : 140°
info found at http://www.coolmath.com/reference/polygons.html
2006-12-06 15:49:23 · answer #8 · answered by Sherman81 6 · 0⤊ 0⤋