Question

1. given the following two parallel lines cut by a transversal. which pair of angles represents alternate interior angles? ∠3 and ∠8 ∠7 and ∠2 ∠7 and ∠8 ∠4 and ∠8

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent angles that lie between two parallel lines and on opposite sides of a transversal.

Step2: Analyze each pair

• For $\angle3$ and $\angle8$: They are vertical angles.
• For $\angle7$ and $\angle2$: They lie between the two parallel lines and on opposite sides of the transversal, so they are alternate interior angles.
• For $\angle7$ and $\angle8$: They are adjacent angles.
• For $\angle4$ and $\angle8$: They are not alternate interior angles.

Answer:

$\angle7$ and $\angle2$