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

Alternate interior angles are congruentTransitive property of congruenceCorresponding-example-1

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Recall that the transitive property of congruence states that:


If\text{ }a\cong b\text{ and a}\cong c\text{ then b}\cong c.

Since


\angle1\cong\angle2\text{ and }\angle1\cong\angle4

then by the transitive property of congruence we get:


\angle2\cong\angle4.

Answer: Transitive property of congruence.

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