Find the value of z that makes quadrilateral EFGH a parallelogram.2zz+10FEHGz=Submit

Question

asked Jun 17, 2023 59.1k views

1 Answer

Pedriyoo · Answer 1 · 2023-06-22T01:46:34+0000

In a parallelogram opposite sides have the same length therefore, for figure EFGH to be a parallelogram we must have that:

Substituting we get:

Now, we solve for "z". First, we subtract "z" from both sides:

$\begin{gathered} z-z+10=2z-z \\ 10=z \end{gathered}$

Therefore, the value of "z" is 10.