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A 9-sided polygon, is named 'Nonagon'. The number of diagonals are '9' From any one node, to the centre of the opposite side. Since there are 9 nodes and 9 lines, then there will be 9 diagonals.
A ten-sided polygon is called a decagon. A decagon has ten internal angles of 144-degrees. All sides of a regular decagon are equal length.
0.5*(402-120) = 740 diagonals
56*(56-3)/2 which is 1484
50*(50 - 3)/2 = 1175 diagonals.