Question

use the diagram to find the following. identify a pair of alternate exterior angles. ∠2 and ∠5 ∠1 and ∠5 ∠1 and ∠8 ∠8 and ∠4

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent exterior angles on opposite sides of a transversal.

Step2: Identify the transversal and lines

The transversal is the line that intersects the two parallel lines \(a\) and \(b\). Exterior angles are outside the two parallel lines.

Step3: Check each option

For \(\angle2\) and \(\angle5\), \(\angle2\) is an exterior angle and \(\angle5\) is an interior angle, so they are not alternate - exterior angles. For \(\angle1\) and \(\angle5\), \(\angle1\) is an exterior angle and \(\angle5\) is an interior angle, so they are not alternate - exterior angles. For \(\angle1\) and \(\angle8\), \(\angle1\) and \(\angle8\) are non - adjacent exterior angles on opposite sides of the transversal, so they are alternate - exterior angles. For \(\angle8\) and \(\angle4\), both \(\angle8\) and \(\angle4\) are exterior angles but they are on the same side of the transversal, so they are not alternate - exterior angles.

Answer:

\(\angle1\) and \(\angle8\)