Angles Formed by Two Parallel Lines and a Transversal

Angles Formed by Two Parallel Lines and a Transversal

TGM Original Questions

In the figure below, \(AB \perp PQ\), where \(E\) is the foot of perpendicular; \(CD \perp PQ\), where \(F\) is the foot of perpendicular. Using this figure, show that \(AB \parallel CD\), i.e., if two lines are perpendicular to a third line, then they are parallel to each other.

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Answer:\(AB\parallel CD\)

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