Question

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

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

For parallel lines \(m\) and \(n\) with transversal \(l\), \(\angle3\) and \(\angle5\) are non - adjacent, lie between \(m\) and \(n\), and on opposite sides of \(l\). \(\angle4\) and \(\angle5\) are adjacent (not alternate). \(\angle1\) and \(\angle3\) are vertical angles. \(\angle6\) and \(\angle7\) are adjacent.

Answer:

\(\angle3\) and \(\angle5\)