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Question
are the two lines below parallel? explain your reasoning. a. yes! the lines are parallel because the same - side exterior angles are supplementary b. yes! the line are parallel because the same - side interior angles are supplementary c. no. the lines are not parallel because the same - side exterior angles are not congruent d. no. the lines are not parallel because the same - side exterior angle are not supplementary
Same - side exterior angles of parallel lines are supplementary. Here, the given same - side exterior angles are 120° and 70°. Their sum is 120° + 70°=190°≠180°, so they are not supplementary.
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D. No. The lines are not parallel because the Same - Side Exterior angle are not supplementary