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The correct reason for number 3 is the Alternate Interior Angle. 

Alternate Interior Angles are a pair of angles on the alternate sides of a transversal and they are on the interior of two crossed lines. Another example of a pair of Alternate Interior Angles are angles ∠4 and ∠5.
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Answer:

Step: 3 [tex]\angle 3\cong\angle 6[/tex]

Reason:Alternate interior angles theorem.

Step-by-step explanation:

We are given that

[tex]a\parallel b[/tex] and both lines are cut by transversal t.

We have to find third step in proof.

Proof:

Step 1:[tex]a\parallel b[/tex]

Reason :Given

Step 2:[tex] \angle 2\cong\angle 3[/tex]

Reason: Verticale angles theorem.

Step: 3 [tex]\angle 3\cong\angle 6[/tex]

Reason:Alternate interior angles theorem.

Step 4:[tex]\angle 2\cong\angle 6[/tex]

Reason: Transitive property of congruence

Step 5:[tex]\angle 6\cong\angle 7[/tex]

Reason:Vertical angles theorem

Step 6:[tex]\angle 2\cong\angle 7[/tex]

Reason:Transitive property of congruence.

Hence, proved

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