(1) Except as otherwise provided in this section, every vehicle stopped or parked upon a two-way highway shall be stopped or parked with the right-hand wheels parallel to and within eighteen (18) inches of the right-hand curb or as close as practicable to the right edge of the right-hand shoulder.
(2) Except when otherwise provided by local ordinances, every vehicle stopped or parked upon a one-way highway shall be stopped or parked parallel to the curb or edge of the highway, in the direction of authorized traffic movement, with its right-hand wheels within eighteen (18) inches of the right-hand curb or as close as practicable to the right edge of the right-hand shoulder, or with its left-hand wheels within eighteen (18) inches of the left-hand curb or as close as practicable to the left edge of the left-hand shoulder.
(3) Local authorities may permit angle parking on any highway, except that angle parking shall not be permitted on any federal-aid or state highway unless the transportation department has determined that the roadway is of sufficient width to permit angle parking without interfering with the free movement of traffic.