Question

solve for the value of n.

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles, they are equal. So, \(7n - 2=6n + 6\).

Step2: Solve for \(n\)

Subtract \(6n\) from both sides: \(7n-6n - 2=6n-6n + 6\), which simplifies to \(n-2 = 6\).
Then add \(2\) to both sides: \(n-2+2=6 + 2\).

Answer:

\(n = 8\)