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, the line that intersects the lines containing ∠12 and ∠14 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 a transversal. Alternate exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal. Consecutive interior angles are angles that lie between two lines and on the same side of a transversal. ∠12 and ∠14 are non - adjacent and lie outside the two lines and on opposite sides of the transversal $b$, so they are alternate exterior angles.

Answer:

Transversal: line $b$; Relationship: alternate exterior angles