Question

Find the value of W that makes quadrilateral PQRS a parallelogram.

Answer 1

to be a parallelogram its front sides must be equal to each other

so, we equalize the length of two sides that are face to face

$\begin{gathered} 5w-25=w+15 \\ \\ \end{gathered}$

and solve for w

$\begin{gathered} 5w-w=15+25 \\ 4w=40 \\ w=\frac{40}{4} \\ \\ w=10 \end{gathered}$

the value of w must be 10