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] [*]Draw a third parallel line that passes through point [math]Q[/math]. [*]Use [math]\overrightarrow{QE}[/math] as a transversal to [math]\overleftrightarrow{AB}[/math] and [math]\overleftrightarrow{PQ}[/math] and identify angle relationships. [*]Use [math]\overrightarrow{QF}[/math] as a transversal to [math]\overleftrightarrow{PQ}[/math] and [math]\overleftrightarrow{CD}[/math] and identify angle relationships. [*]Use angle addition. [/list]