Question

what angle relationship describes angles cbe and deb? alternate interior angles alternate exterior angles corresponding angles same - side interior angles

Explanation:

To determine the angle relationship between ∠CBE and ∠DEB, we analyze their positions relative to the transversal (line BE) and the two parallel lines (the lines containing points C and D).

• Alternate Interior Angles: These are angles that lie between the two parallel lines (interior) and on opposite sides of the transversal.
• ∠CBE and ∠DEB are between the two parallel lines (formed by the two slanted lines) and on opposite sides of the transversal BE.
• Alternate exterior angles would be outside the parallel lines, corresponding angles would be in the same relative position, and same - side interior angles would be on the same side of the transversal. So, ∠CBE and ∠DEB fit the definition of alternate interior angles.

Answer:

A. Alternate interior angles