v_kumar is on the right track, but there is a way to set up the editor to route in any angle, but it will have a curve at the switch of angles.
Go to "Setup,Editor Control,General, go down to "Curve Trace Radius" and select or type in "Variable"
While in the Interactive route mode, select the trace or trace pairs starting point that you want to route, then press the F10 key which will toggle the curve trace action. If the curves snap to some grid point other than "any angle", right click the mouse button and select "Variable" from the angle selection menu. This will allow any angle routing. You should also have the routing grid set to "none" while doing this (setup,editor control,grids,route grid-"none")