If the lines m and n would be parallel, then the consecutive interior angles must be congruent, i.e. their measures must be the same:
[tex]m<2=m<3[/tex]
Next, substitute the given angle measures into the equation:
[tex]2x+15=4x-9[/tex]
Solve for x in the equation by first collecting like terms:
[tex]\begin{gathered} 2x-4x=-9-15 \\ -2x=-24 \\ \text{divide both sides of the equation by -2:} \\ \frac{-2x}{-2}=\frac{-24}{-2} \end{gathered}[/tex]
Next, reduce the fractions to get:
[tex]x=12[/tex]
