Given data:
The given figure is shown.
In a parallelogram, the sum of adjacent angles is 180 degrees.
[tex]\begin{gathered} (10x-23)^{\circ}+(5x-7)^{\circ}=180^{\circ} \\ 15x=210^{\circ} \\ x=14 \end{gathered}[/tex]
The measure of the angle CFE is,
[tex]\begin{gathered} \angle CFE=(5(14)-7)^{\circ} \\ =63^{\circ^{}} \end{gathered}[/tex]
The measure of the angle CFE and CDE are equal.
Thus, the measure of the angle CDE is 63 degrees so, the last option is correct.
