Question

find the value of z.
show your work here
z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $3z + 97=z + 115$.

Step2: Isolate variable $z$

Subtract $z$ from both sides: $3z - z+97=z - z + 115$, which simplifies to $2z+97 = 115$.

Step3: Solve for $z$

Subtract 97 from both sides: $2z+97 - 97=115 - 97$, getting $2z=18$. Then divide both sides by 2: $z=\frac{18}{2}$.

Answer:

$z = 9$