Never heard of a 'nanogon'. If you mean 'Nonagon'. note the spelling.
The the exteriod angle is
EXT Ang = 360 / 9 = 40 DEGREES.
Remember for any REGULAR polygon the EXTETRIOR Angle is '360' divided by the given number of sides (n).
Algebriacally.
Ext. Ang = 360 / n
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For regular polygons all the exterior angles are the same, and like all polygons they add to 360°. So each exterior angle is 360 divided by the n, the number of sides. Hope this helps.
~Isaac Teh~
360/9 = 40 degrees
First of all its not NANOGON its NONAGON......... A nonagon has 9 sides..
Assuming you mean 1,120, because each angle in a nanogon is 140 degrees so the ninth angle is 140 as well. But if this is an irregular nanogon then...it`s still possible to figure out...your last angle would be 130 degrees.
A nanogon has no diagonals because there is no such shape. A nonagon, on the other hand, has 9*(9-3)/2 = 27 diagonals.
A regular pentagon consists of 5 angles of 108° which are obtuse angles.