Suppose a line meets two parallel lines.
 
Show that that the bisectors of any pair of corresponding angles so formed are parallel.
 
 
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 \(∠WPG=∠YQP\)   []
 
\(∠EPG=∠\)  [Since, \(EP\) and \(FQ\) are bisectors]
 
Hence, \(EP∥FQ\).