The question requires you to write the proof statements according to the angles relationships.
From the diagram
< 1 equals < 4 ------given
< 4 equals < 2------opposite vertical angles are equal , 90°
<1 equals < 2 ----vertical angles are supplementary
< 1 equals < 3 -------vertical angles are equal, 90°.
<2 equals <3 --------vertical angles are supplementary