Question

solve for x.
5)
6x - 6
5x + 4

Explanation:

Step1: Identify the relationship

The two angles \(6x - 6\) and \(5x + 4\) are corresponding angles (since the lines are parallel and cut by a transversal), so they are equal. Thus, we set up the equation: \(6x - 6 = 5x + 4\).

Step2: Solve for \(x\)

Subtract \(5x\) from both sides: \(6x - 5x - 6 = 5x - 5x + 4\), which simplifies to \(x - 6 = 4\). Then add 6 to both sides: \(x - 6 + 6 = 4 + 6\), so \(x = 10\).

Answer:

\(x = 10\)