What actually decides a corresponding angle
Two parallel lines are crossed by a transversal at 58° on the first line. A classmate says the corresponding angle on the second line might not also be 58°, depending on the setup. What actually decides whether the corresponding angle is equal?
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The angle a line makes with the transversal is a fact about the line's direction. Ask which of these four things is actually a description of direction, and which are facts about position instead.
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