Question

4. In Parallelogram CDEF, find mCDE.Answer choices:117 degrees9 degrees13 degrees63 degrees

Answer 1

Given data:

The given figure is shown.

In a parallelogram, the sum of adjacent angles is 180 degrees.

`\begin{gathered} (10x-23)^(\circ)+(5x-7)^(\circ)=180^(\circ) \\ 15x=210^(\circ) \\ x=14 \end{gathered}`

The measure of the angle CFE is,

`\begin{gathered} \angle CFE=(5(14)-7)^(\circ) \\ =63^{\circ^{}} \end{gathered}`

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.