Question

1. what is the angle relationship? 2. which pair of angles are alternate exterior angles?

Explanation:

Step1: Identify angle - relationship for first question

For the first diagram with angles \(x\) and \(y\), when two parallel lines are cut by a transversal, \(x\) and \(y\) are corresponding angles. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Identify alternate - exterior angles for second question

Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal. In the second diagram, the pairs of alternate - exterior angles are \(\angle1\) and \(\angle8\), and \(\angle2\) and \(\angle7\).

Answer:

1. Corresponding angles
2. \(\angle1\) and \(\angle8\), \(\angle2\) and \(\angle7\)