Question

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 z - term

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

Step4: Solve for z

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

Answer:

\(z = 7\)