The lines are parallel on the map are called Latitudes.
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Latitude lines are parallel straight lines that run east-west, while longitude lines are not parallel to each other and appear curved when projected onto a map. Longitude lines converge at the poles and are widest at the equator.
They are the horizontal lines on a map.
It depends on the scale of the map. On a map of the world or a continent, the parallel lines will generally go horizontally across the map - East to West. For a large scale map, showing a small country or a local area, the vertical lines (North - South) will also be shown as parallel.
The only lines that can run parallel to the Prime Meridian on any map are other meridians of longitude, and the only map on which they can be printed parallel to it is a Mercator Projection. They are not really parallel to the Prime Meridian.
Latitude lines run parallel to the Equator while longitudinal lines (also called meridians) run north-south. The latitude angle ranges from 0 degrees at the Equator to 90 degrees at either the north or south pole.