Question

∠1 and ∠2 are ----. options: same - side interior angles, alternate interior angles, alternate exterior angles, corresponding angles, none of these (with a diagram of two parallel lines cut by a transversal, showing ∠1 and ∠2)

Explanation:

To determine the relationship between ∠1 and ∠2, we analyze their positions. Corresponding angles are in the same relative position at each intersection where a transversal crosses two lines. Here, ∠1 and ∠2 are in corresponding positions relative to the transversal and the two parallel (or non - parallel) lines. Same - side interior angles are on the same side of the transversal and inside the two lines, alternate interior angles are inside the two lines and on opposite sides of the transversal, and alternate exterior angles are outside the two lines and on opposite sides of the transversal. Since ∠1 and ∠2 match the definition of corresponding angles.

Answer:

Corresponding Angles (the option with "Corresponding Angles" text, which is the teal - colored button in the given options)