Question

select the transversal connecting ∠12 and ∠14. then classify the relationship between ∠12 and ∠14 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Explanation:

Step1: Identify the transversal

A transversal is a line that intersects two or more lines. By observing the figure, line \(b\) intersects the lines that \(\angle12\) and \(\angle14\) are on. So the transversal is line \(b\).

Step2: Classify the angle - relationship

Alternate - interior angles are non - adjacent angles that lie between two lines and on opposite sides of the transversal. \(\angle12\) and \(\angle14\) are non - adjacent, lie between the two intersected lines and on opposite sides of line \(b\). So they are alternate interior angles.

Answer:

Transversal: line \(b\); Relationship: alternate interior angles