Alternate interior angles are congruentTransitive property of congruenceCorresponding angles are congruentConverse of the corresponding angles postulate

Recall that the transitive property of congruence states that:
[tex]If\text{ }a\cong b\text{ and a}\cong c\text{ then b}\cong c.[/tex]Since
[tex]\angle1\cong\angle2\text{ and }\angle1\cong\angle4[/tex]then by the transitive property of congruence we get:
[tex]\angle2\cong\angle4.[/tex]Answer: Transitive property of congruence.