What is the value of z?

Answer:
x=6
Step-by-step explanation:since the opposite triangles are congruent, they are equal. so 6x-15=x+15. Then i cancelled the negative 15 on the the left by adding 15. So i was left with 6x=x+30. Then you subtract the x on the right from the 6 x and you are left with 5x=30. 30 divided by 5 is 6. X=6
Hi there!
Your question is mistaken. You must have meant to ask for the value of x.
By definition of a parallelogram, we know that there must be two pairs of parallel sides. We also know that a parallelogram will follow this form:
See attachment.
Therefore, we know that [tex]6x-15=x+15[/tex]. Let's solve:
[tex]6x-15=x+15[/tex]
[tex]5x-15=15[/tex] Subtract x from both sides.
[tex]5x=30[/tex] Add 15 to both sides. Now the variable is isolated.
[tex]x=6[/tex] Divide both sides by 5.
So as you can see, x = 6. If you tried to solve this and got a negative solution, remember that lengths and distances can never be negative (e.g. I can't go -5 miles; a square can't have a length of -3 feet, etc.).
Hope this helps! :^)