Relationship between Vertical Angles

In the figure below, lines $AB$ and $CD$ intersect at point $E$, forming angles $\angle AEC$, $\angle BED$, $\angle CEA$, and $\angle DEB$. It is given that $\angle AEC$ measures $x$ degrees and $\angle BED$ measures $3x$ degrees. If the sum of the measures of angles around point $E$ equals $360$ degrees, what is the relationship between the measures of $\angle CEA$ and $\angle DEB$?

Write your answer based on the relationship you deduce from the information given.