Question

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

Explanation:

Step1: Set up the equation

Since the two angles \((7n - 2)^{\circ}\) and \((6n + 6)^{\circ}\) 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 \(n-2=6\).
Add \(2\) to both sides: \(n-2 + 2=6+2\), so \(n = 8\).

Answer:

\(n = 8\)