Answer is: the partial pressure of nitrogen gas is 720.0 torr.
The total pressure of an ideal gas mixture is the sum of the partial pressures of the gases in the mixture.
p(mixture) = p(water) + p(nitrogen).
p(water) = 40.0 torr; partial pressure of the water.
p(nitrogen) = p(mixture) - p(water).
p(nitrogen) = 760.0 torr - 40.0 torr.
p(nitrogen) = 720.0; patial pressure of N₂.