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Question
there are some special relationships between angles when the lines cut by the transversal are parallel. suppose you draw a different transversal that intersects the same two parallel lines. do you think the angle relationships you discovered will still be true? no yes
The angle - relationships such as corresponding angles, alternate - interior angles, and same - side interior angles for parallel lines cut by a transversal are based on geometric properties. These properties are invariant under the change of the transversal as long as the two lines remain parallel.
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yes