Question

2 multiple choice 10 points what is the relationship between $\angle 6$ and $\angle 7$? $\dot{\zeta}$cuál es la relación entre $\angle 6$ y $\angle 7$? $\overleftrightarrow{cf} \parallel \overleftrightarrow{jk}$ diagram: two horizontal parallel lines $\overleftrightarrow{cf}$ (c left, f right) and $\overleftrightarrow{jk}$ (j left, k right) cut by a transversal (diagonal line). angles around intersection with $\overleftrightarrow{cf}$: 1 (top-left), 2 (top-right), 3 (bottom-left), 4 (bottom-right). angles around intersection with $\overleftrightarrow{jk}$: 5 (top-left), 6 (top-right), 7 (bottom-left), 8 (bottom-right). options: same side exterior (ángulos exteriores del mismo lado), alternate exterior angles (ángulos exteriores alternos), alternate interior (ángulos interiores alternos), corresponding angles (ángulos correspondientes), vertical angles (ángulos verticals)

Explanation:

To determine the relationship between ∠6 and ∠7, we analyze their positions. Vertical angles are formed when two lines intersect, and they are opposite each other, sharing a common vertex. ∠6 and ∠7 are formed by the intersection of the transversal with line JK, and they are opposite each other (vertical) with the same vertex. Same - side exterior, alternate exterior, alternate interior, and corresponding angles do not fit: same - side exterior angles are on the same side of the transversal and outside the parallel lines; alternate exterior are on opposite sides and outside; alternate interior are on opposite sides and inside; corresponding angles are in the same relative position. So ∠6 and ∠7 are vertical angles.

Answer:

Vertical Angles (ángulos verticals)