Question

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

Answer 1

In a parallelogram the diagonals bisct each other. Then:

`14=4x-2`

Use the equation above to find the value of x:

`\begin{gathered} 14+2=4x-2 \\ 16=4x \\ (16)/(4)=x \\ \\ 4=x \end{gathered}`

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

`\begin{gathered} m\angle EDA=45º \\ m\angle EAD=57º \end{gathered}`