(a) An operator who stops or parks on a two-way roadway shall do so with the right-hand wheels of the vehicle parallel to and within 18 inches of the right-hand curb or edge of the roadway.
(b) An operator who stops or parks on a one-way roadway shall stop or park the vehicle parallel to the curb or edge of the roadway in the direction of authorized traffic movement with the right-hand wheels within 18 inches of the right-hand curb or edge of the roadway or the left-hand wheels within 18 inches of the left-hand curb or edge of the roadway. This subsection does not apply where a local ordinance otherwise regulates stopping or parking on the one-way roadway.

(c) A local authority by ordinance may permit angle parking on a roadway. This subsection does not apply to a federal-aid or state highway unless the director of the Texas Department of Transportation determines that the roadway is wide enough to permit angle parking without interfering with the free movement of traffic.
(d) The Texas Department of Transportation, on a highway under the jurisdiction of that department, may place signs prohibiting or restricting the stopping, standing, or parking of a vehicle on the highway where the director of the Texas Department of Transportation determines that stopping, standing, or parking is dangerous to, or would unduly interfere with, the free movement of traffic on the highway.
(e) To the extent of any conflict between Subsection (a) or (b) and a municipal ordinance adopted under § 545.302(g), the ordinance controls.