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GeometryMediumOlympiad Geometry

Olympiad Geometry · Medium problem

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Alternate interior angles measure (2x+50)∘(2x+50)^\circ and (4x+10)∘(4x+10)^\circ. A student claims the lines are parallel when x=15x=15. Is the student correct? If not, find the value of xx that does make the lines parallel.