Hence, The Transitive property is used in the step4.
Given that ,
Alternate Interior Angles Theorem, using parallel lines a and b with transversal m,
We have to prove,
Using parallel lines m is transversal by using transitive property.
Suppose that, a and b are two parallel lines and m is the transversal that intersects a and b.
We know that,
If a transversal intersects any two parallel lines,
The corresponding angles and vertically opposite angles are congruent.
Transitive Property: if A = B and B = C, then A = C.
Therefore,
∠1 = ∠5 ………..(i) [Corresponding angles]
∠3 = ∠1 ………..(ii) [Vertically opposite angles]
From equations (i) and (ii), we get-
By transitive property,
∠3 = ∠5
Hence, it is proved it is a transitive property.
Hence , Transitive property is the steps 4.
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