Question

4 which of the following angle pairs would apply to the alternate interior angles theorem?
∠3 and ∠5
∠4 and ∠5
∠6 and ∠7
∠1 and ∠3

Explanation:

Step1: Recall alternate interior angles definition

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

Step2: Analyze each option

• For $\angle3$ and $\angle5$: They lie between lines \(m\) and \(n\) and on opposite sides of the transversal \(l\).
• For $\angle4$ and $\angle5$: They are adjacent angles (not alternate interior).
• For $\angle6$ and $\angle7$: They are adjacent angles (not alternate interior).
• For $\angle1$ and $\angle3$: They are vertical angles (not alternate interior).

Answer:

$\angle3$ and $\angle5$