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normal lines or normals
The term that indicates imaginary parallel lines that circle the Earth is "latitude." Latitude lines run horizontally around the globe, measuring the distance north or south of the Equator. These lines are used in geographic coordinate systems to help locate positions on the Earth's surface.
Latitude lines are imaginary lines that are parallel to the equator to fix a position on earth (along with longitude lines which are imaginary lines perpendicular to the equator)
You would have to be given other information about the angles that would let you deduce that they are equal. For example any two right angles are equal. If two parallel lines are cut by a transversal, the alternate interior angles are equal.