Question

for the value of z.

Explanation:

Step1: Identify vertical angles

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

Step2: Solve for \( z \)

Subtract \( 7z \) from both sides: \( 7 = 2z - 7 \).
Add 7 to both sides: \( 14 = 2z \).
Divide by 2: \( z = \frac{14}{2} = 7 \).

Answer:

\( z = 7 \)