[tex]\begin{gathered} \angle1=\angle4=30^{\circ}\Rightarrow Verticle\text{ angle} \\ Now, \\ \angle6+\angle7=180 \\ 35+\angle7=180 \\ \angle7=145^{\circ}\Rightarrow Angle\text{ on a straight line} \\ \text{Now,} \\ \angle8=\angle6=35^{\circ}\Rightarrow verticle\text{ angle} \\ \text{Now,} \\ \angle5=\angle4=30^{\circ}\Rightarrow Alternate\text{ exterior angle} \end{gathered}[/tex]
