Step 1
Find the angles
[tex]\begin{gathered} m\angle3=180-90-35=55^{\circ}\text{(sum of angles in a triangle=180 degr}ees) \\ m\angle1=35^{\circ}(corresponding\text{ angles in similar triangles)} \\ \end{gathered}[/tex][tex]m\angle2=180-m\angle1=180-35=145^{\circ}(sum\text{ of angles on a straight line)}[/tex][tex]\begin{gathered} m\angle5=180-90-35=55^{\circ}(sum\text{ of angles in a triangle=180 degr}ees) \\ m\angle4=180-m\angle5=180-55=125^{\circ}(sum\text{ of angles on a straight line)} \end{gathered}[/tex]
Hence,
[tex]\begin{gathered} m\angle1=35^{\circ} \\ m\angle2=145^{\circ} \\ m\angle3=55^{\circ} \\ m\angle4=125^{\circ} \\ m\angle5=55^{\circ} \end{gathered}[/tex]
