In the following diagram, [math]\overleftrightarrow{AB} \parallel \overleftrightarrow{CD}[/math]. If [math]m \angle 1 = 35[/math] and [math]m \angle 2 = 65[/math], find [math]m \angle EQF[/math].

[list=1][br][*]Draw a third parallel line that passes through point [math]Q[/math].[br][*]Use [math]\overrightarrow{QE}[/math] as a transversal to [math]\overleftrightarrow{AB}[/math] and [math]\overleftrightarrow{PQ}[/math] and identify angle relationships.[br][*]Use [math]\overrightarrow{QF}[/math] as a transversal to [math]\overleftrightarrow{PQ}[/math] and [math]\overleftrightarrow{CD}[/math] and identify angle relationships.[br][*]Use angle addition.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.