(a) Except as otherwise provided in this section, every vehicle stopped or parked upon a two-way roadway shall be so stopped or parked with the right-hand wheels parallel to and within 18 inches of the right-hand curb or edge of the roadway.

(b) Except when otherwise provided by local ordinance, every vehicle stopped or parked upon a one-way roadway shall be so stopped or parked parallel to the curb or edge of the roadway, in the direction of authorized traffic movement, with its right-hand wheels within 18 inches of the right-hand curb or edge of the roadway, or its left-hand wheels within 18 inches of the left-hand curb or edge of the roadway.

(c) Local authorities may by ordinance permit angle parking on any roadway, except that angle parking shall not be permitted on any federal-aid or state highway unless the Department of Transportation has determined by regulation that the roadway is of sufficient width to permit angle parking without interfering with the free movement of traffic.

(d) The Department of Transportation with respect to highways under its jurisdiction may place signs prohibiting or restricting the stopping, standing, or parking of vehicles on any highway where in its opinion, as evidenced by regulation, such stopping, standing, or parking is dangerous to those using the highway or where the stopping, standing, or parking of vehicles would unduly interfere with the free movement of traffic thereon. Such signs shall be official signs and no person shall stop, stand, or park any vehicle in violation of the restrictions stated on such signs.