To prove that CD/AB = DE/AE when Angle A = Angle D, it is established that triangles ABE and EDC are congruent due to the equal angles AEB and DEC, leading to the conclusion that angles ABE and DCE are also equal. This congruence implies that the triangles are similar, allowing the use of the proportion law. Consequently, the relationship CD/AB = DE/AE can be derived from the properties of similar triangles. The discussion emphasizes the importance of angle congruence in establishing triangle similarity. Overall, the proof hinges on the congruence and similarity of the triangles involved.