Finding angles of a Parallelogram

[cuallito]

Homework Statement

Find the values of x, y and z

Relevant Equations

∠A+∠B+∠C+∠D = 360

Hi, I work as a math/science tutor, and a student had this question. He said you're supposed to find the values of x, y, and z and the only information given is that it is a parallelogram.

It looks like it might be under-determined to me, every equation I write for it ends up reducing to

15x + (6y - 9) + 6z = 180

I found a helpful page of parallelogram formulas here: https://www-formula.com/geometry/parallelogram/all-formulas

 

[Mark44]

What is z in the picture?
Also your tic marks are somewhat confusing. Back when I took geometry, if two segments were equal they were marked with the same number of tic marks, but you have segments marked with two tic marks in different colors. Presumably a segment with two green marks isn't the same length as a segment with two blur marks.

It would be helpful to see the exact wording of the problem.

 

[LCKurtz]

All those variables just obscure the problem. Call $a=15x,~b=6y-9,~c=6z$ and re-label the picture accordingly. It's pretty obvious there isn't a unique solution. Even a square works.