Question

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

Explanation:

Step1: Set up the equation

Vertical - angles are equal. So, \(7z + 7=9z - 7\).

Step2: Move like - terms together

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

Step3: Isolate the variable term

Add 7 to both sides: \(7 + 7=2z-7 + 7\), resulting in \(14 = 2z\).

Step4: Solve for \(z\)

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

Answer:

\(z = 7\)