Question

solve for the value of z. answer attempt 1 out of 2 z =

Explanation:

Step1: Set the angles equal

Since vertical - angles are equal, we set $7z + 7=9z - 7$.

Step2: Move z - terms to one side

Subtract $7z$ from both sides: $7z+7 - 7z=9z - 7-7z$, which simplifies to $7 = 2z-7$.

Step3: Isolate the term with z

Add 7 to both sides: $7 + 7=2z-7 + 7$, getting $14 = 2z$.

Step4: Solve for z

Divide both sides by 2: $\frac{14}{2}=\frac{2z}{2}$, so $z = 7$.

Answer:

$z = 7$