According to the given diagram, angles COD and DOE are complementary angles because they are on a right triangle, which means they sum 90°.
[tex]\begin{gathered} m\angle COD+m\angle DOE=90 \\ 54+m\angle DOE=90 \\ m\angle DOE=90-54 \\ m\angle DOE=36 \end{gathered}[/tex]
Therefore, angle DOE is 36°.
