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n(n-3)
--------- = # de diagonales
....2
Donde "n" es el numero de lados:
Reemplazando:
n (n - 3)
------------ = 35 diagonales
......2
=) n (n - 3) = 70
=) n (n - 3) = 10 (10 - 3)
Entondes n = 10.
Numero de lados es 10