Question

what is the relationship between ∠1 and ∠5? ¿cuál es la relación entre ∠1 y ∠5? (overleftrightarrow{cf} parallel overleftrightarrow{jk})
options:

• alternate interior (ángulos interiores alternos)
• corresponding angles (ángulos correspondientes)
• same side exterior (ángulos exteriores del mismo lado)
• vertical angles (ángulos verticals)
• alternate exterior angles (ángulos exteriores alternos)

Explanation:

To determine the relationship between ∠1 and ∠5, we analyze their positions relative to the parallel lines \( \overleftrightarrow{CF} \) and \( \overleftrightarrow{JK} \) and the transversal. Corresponding angles are in the same relative position at each intersection where a straight line crosses two others. ∠1 is at the upper - left intersection of the transversal with \( \overleftrightarrow{CF} \), and ∠5 is at the upper - left intersection of the transversal with \( \overleftrightarrow{JK} \). So they are corresponding angles.

Answer:

B. Corresponding Angles (ángulos correspondientes)