On a map East becomes South-West, South-West becomes North and so on. Then what will North-East become on the new map?
Now, the above diagram can be redrawn with the given conditions.
Now, as is evident from both the diagrams, the original directions are shifted by 135 degrees in the anti-clockwise direction.
So, the North East direction in the actual map will be replaced by the direction which is now 135 degrees in the clockwise direction. Which is South.