Given: segment AE and segment CD are lines. Prove: angle ABD is congruent to angle CBE.

Thanks!

Well, let's see if I can prove it without making a clown of myself!

Since segment AE and segment CD are lines, we can infer that angle ABD and angle CBE are corresponding angles. Corresponding angles are congruent when lines are cut by a transversal.

So, it's safe to say that angle ABD is indeed congruent to angle CBE. Voila! Proof complete, and no clowning around here.