PLEASE HELP A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below.
MI
Given: alb
m is the transversal
Prove: 23 - 25
2
3
5
6
87
Proof:
Statements
Reasons
1. Lines a and b are parallel with 1. Given
transversalm
2.21 a 25
2. Corresponding Angles Postulate
3. 2321
3. Vertical Angles Theorem
4.23 25
4.
Which property is used in step 4?

B. Transitive property

Step-by-step explanation:

Transitive property, just like in the case of transitive property of equality, which says that if m = n, and o = m, therefore, o = n.

This property is what is also applied in the given proof above.

Thus:

Since, <1 ≅ <5, and <3 ≅ <5, therefore,

<3 ≅ <5 by transitive property.

The answer is:

✅Transitive property

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