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adjacent angles two angles in a plane that have a common vertex and a common side but no common interior points alternate interior angles the inside angles on opposite diagonal sides of a transversal crossing two parallel lines alternate exterior angles the outside angles on opposite diagonal sides of a transversal crossing two parallel lines corresponding angles the angles that lie in the same position or "match up" when a transversal crosses two parallel lines line a collection of points arranged in a straight path that extends without end in both directions parallel lines coplanar lines that never intersect transversal a line that intersects two or more lines in a plane