Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between points A and E. Lines BC and ED are also intersected by transversal EC. Angle ABC measures 70 degrees, and angle CED measures 30 degrees.

Question

What angle relationship describes angles CBE and DEB?
Alternate interior angles
Alternate exterior angles
Corresponding angles
Same-side interior angles

Answer 1

Given that lines BC and ED are parallel and are intersected by transversals AE and EC, we can examine the relationship between angles CBE and DEB.

1. Angle CBE is formed by the transversal AE intersecting line BC at point B.
2. Angle DEB is formed by the transversal EC intersecting line ED at point E.

Since BC and ED are parallel lines, the angles CBE and DEB are on the same side of the transversal AE (which crosses both parallels) and are interior angles.

Since they are on the same side of the transversal and between the two parallel lines, they are classified as same-side interior angles.

Therefore, the correct answer is: Same-side interior angles.