[tex]m\angle1=65[/tex]
Explanation
when a line intersect a pair of parallel lines, diverse angles are formed
As we can see, angles 1 and angle 2 are supplementary , ( the sum equal 180)
the same for angles 3 and 4,
also angle1 is congruent to angle 3
[tex]m\angle1=m\angle3\text{ Eq(1)}[/tex]
and
angle 3 and 4 are supplementary ,so
[tex]\begin{gathered} m\angle3+m\angle4=180 \\ \text{replace m}\angle4=115 \\ m\angle3+115=180 \\ \text{subtract 115 in both sides} \\ m\angle3+115-115=180-115 \\ m\angle3=65 \\ m\angle3=m\angle1=65 \end{gathered}[/tex]
I hope this helps you
