Question: unsolvable system of equations?

Hi,

I have this set of equations but maple won't solve the three variables and it gives an 

Error, (in solve) cannot solve for an unknown function with other operations in its arguments. This are the equations with unknowns, alfa1, alfa2, and alfa3.

eq1 := 3*(1+sin(alfa1)^3)(30/tan(alfa1)+60/tan(alfa2)+60/tan(alfa3))/(sin(alfa1)^2*cos(alfa1)*tan(alfa1)) = 3*(1+sin(alfa2)^3)(30/tan(alfa2)+60/tan(alfa3))/(sin(alfa2)^2*cos(alfa2)*tan(alfa2));

eq2 := 3*(1+sin(alfa1)^3)(30/tan(alfa1)+60/tan(alfa2)+60/tan(alfa3))/(sin(alfa1)^2*cos(alfa1)*tan(alfa1)) = (90*(1+sin(alfa3)^3))/(sin(alfa3)^2*cos(alfa3)*tan(alfa3));

eq3 := 3/tan(alfa1)+3/tan(alfa2)+3/tan(alfa3) = 25/2;

solutions := [solve({eq1, eq2, eq3, alfa1 > 0, alfa2 > 0, alfa3 > 0}, {alfa1, alfa2, alfa3})];

Can anyone help?