Consider parallelogram ABCD below. Use the information given in the figure to find x, measure of EDA, and measure of EAD

In a parallelogram the diagonals bisct each other. Then:
[tex]14=4x-2[/tex]Use the equation above to find the value of x:
[tex]\begin{gathered} 14+2=4x-2 \\ 16=4x \\ \frac{16}{4}=x \\ \\ 4=x \end{gathered}[/tex]To find the meaure of the angles you need to know the next about the angles formed by the diagonals in a parallelogram:
Angles in blue are congruent
Angles in green are congruent
[tex]\begin{gathered} m\angle EDA=45º \\ m\angle EAD=57º \end{gathered}[/tex]