Question

In parallelogram WWXY, diagonal XV is drawn. If m>XWV = 80° and m

Answer 1

$\begin{gathered} SW=12 \\ SV=20 \\ US=3y \\ ST=2x+8 \end{gathered}$

The diagonals of a parallelogram bisect each other at the center of the parallelogram. Therefore:

$\begin{gathered} SW=US \\ so\colon \\ 12=3y \\ solve_{\text{ }}for_{\text{ }}y\colon \\ y=\frac{12}{3} \\ y=4 \end{gathered}$$\begin{gathered} ST=SV \\ 2x+8=20 \\ solve_{\text{ }}for_{\text{ }}x \\ 2x=20-8 \\ 2x=12 \\ x=\frac{12}{2} \\ x=6 \end{gathered}$