Question

1. what are the alternate exterior angle pairs in the picture below?

∠1 and ∠2, ∠7 and ∠8
∠1 and ∠8, ∠2 and ∠7
∠1 and ∠7, ∠2 and ∠8
∠1 and ∠3, ∠5 and ∠7

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Identify pairs in the figure

In the given figure, lines \(r\) and \(s\) are intersected by transversal \(q\). The pairs of alternate - exterior angles are \(\angle1\) and \(\angle8\), and \(\angle2\) and \(\angle7\).

Answer:

\(\angle1\) and \(\angle8\), \(\angle2\) and \(\angle7\)