First of all its not NANOGON its NONAGON......... A nonagon has 9 sides..
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A nonagon is a polygon with 9 sides
I donno :P
A nanogon has no diagonals because there is no such shape. A nonagon, on the other hand, has 9*(9-3)/2 = 27 diagonals.
360/9 = 40 degrees
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