[tex]\begin{gathered} m\angle2=m\angle6\text{ are corresponding angles} \\ \angle2\cong\angle6\text{ are the same because the both angles are corresponding} \end{gathered}[/tex][tex]\begin{gathered} m\angle2+m\angle3=180\text{ are angles on a straight line.} \\ \text{angles on straight line =180 degree} \end{gathered}[/tex][tex]\begin{gathered} m\angle3+m\angle6=180\text{ are supplementary angles} \\ \text{supplementary angles = 180 degree} \end{gathered}[/tex][tex]\begin{gathered} m\angle2+m\angle3=m\angle3+m\angle6 \\ angles\text{ on a straight line(180 degree)=supplementary angles(180 degree)} \end{gathered}[/tex]
