ANSWER:
x = 15
y = -99
z = -10
STEP-BY-STEP EXPLANATION:
In a rhombus, opposite angles are equal.
Knowing this, we can establish the following equation:
[tex]\begin{gathered} -y-7=92 \\ \text{ we solve for y:} \\ y=-92-7 \\ y=-99 \end{gathered}[/tex]
The sum of the angles inside a rhombus is equal to 360°, knowing this, we can calculate the missing angle, since both are equal, just like this:
[tex]\begin{gathered} 92+92+\theta+\theta=360 \\ 2\theta=360-92-92 \\ \theta=\frac{176}{2} \\ \theta=88\degree \\ \\ \text{ therefore:} \\ 6x-2=88 \\ 6x=88+2 \\ 6x=90 \\ x=\frac{90}{6} \\ x=15 \\ \\ -9z-2=88 \\ -9z=88+2 \\ -9z=90 \\ z=\frac{90}{-9} \\ z=-10 \end{gathered}[/tex]
