The angle you pick accomplish should be that the car mooving at the posted speed could make the turn even if the road is icy ( no friction).
Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional force, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion. Automobile engines use about 20% of their output to overcome frictional forces in moving parts.
The adhesion force between the contact zones of the surfaces, which are always microscopically uneven, appear to be the primary cause of friction between metals. Shearing these "welded" joints and the action of the tougher surface's imperfections scrubbing against the softer surface cause friction.
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