Question

find the value of p that makes quadrilateral GHIJ a parallelogram

Answer 1

A parallalelogram has its opposite sides with the same length, therefore we can use this fact to determine p:

$\begin{gathered} p=3p-32 \\ 6p-87=2p-23 \end{gathered}$

We can solve either equations to find p.

$\begin{gathered} -3p+p=-32 \\ -2p=-32 \\ p=16 \end{gathered}$

Therefore the value of p must be equal to 16