Question

In ADEF below, mZD=3x+5, mZE = 4x-15, and mZF = 2x+10. Which statement is1) DF=FE2) DE = FE3) m

Answer 1

$\begin{gathered} m\angle D+m\angle E+m\angle F=180 \\ m\angle D=3x+5 \\ m\angle E=4x-15 \\ m\angle F=2x+10 \\ 3x+5+4x-15+2x+10=180 \\ 9x=180 \\ x=\frac{180}{9} \\ x=20 \end{gathered}$$\begin{gathered} m\angle D=65 \\ m\angle E=65 \\ m\angle F=50 \end{gathered}$

Therefore:

$DF=FE$