In the following diagram, [math]\overleftrightarrow{AB} \parallel \overleftrightarrow{CD}[/math] and [math]\overleftrightarrow{AC} \parallel \overleftrightarrow{BD}[/math]. If [math]m \angle 1 = 3(x + 15)[/math], [math]m \angle 2 = 2x + 55[/math], and [math]m \angle 3 = 4y + 9[/math], find the measures of the unknown angles and the values of [math]x[/math] and [math]y[/math].
