The dance known as Argentine tango developed in poor areas about a century ago in Agentina, where there were much more men than women amongst the immigrants from Europe.
In order to get attention from the very few girls on the dance floor, a boy must be good at dancing to stand any chance. So they tried to come up with more and more fancy dance steps, and started to practice amongst themselves in secret. During the actual dance, they would suddenly show off these new steps in public to get the girls' attention.
Hence the start of the tradition of man dancing with man in Argenitne tango.