Lines and Angles22719. In the given figure, AB | CD and atransversal t – InterviewSolution

1.	Lines and Angles22719. In the given figure, AB \| CD and atransversal t cuts them at E andrespectively. If EP and FQ are the bisectorsof ZAEF and ZEFD respectively, provethat EP \|I FQQ.
Answer» Line AB \|\| Line CD On transversal EF Angle AGH =Angle GHD.....(1)(alternate angle theorem)AGH =2 LGH ...(2) (Angle bisector)GHD=2 MHG....(3)(Angle bisector)From 1, 2, and 3: LGH = MHGTherefore line GL \|\| line HM.... (Alternate angle test).

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