We can solve this problem in different ways:
0. Statement: As angle 1 and 3 are vertical angles, and angle 1, 5, 4 form a straigth angle, so angle 2 and (algle 4 + angle 5) are vertcal angles too.
Reason:
[tex]\begin{gathered} \angle1+\angle4+\angle5=180=\angle2+\angle3(share\text{ the same line)} \\ \angle1=\angle3(verticl\text{ angles)} \\ So, \\ \angle4+\angle5=\angle2 \end{gathered}[/tex]
