Question

given m||n, find the value of x. (5x + 24)° (6x - 6)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angles \((5x + 24)^{\circ}\) and \((6x-6)^{\circ}\) are alternate - interior angles, and alternate - interior angles are equal. So we set up the equation \(5x + 24=6x - 6\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(5x+24 - 5x=6x - 6-5x\), which simplifies to \(24=x - 6\).
Then add 6 to both sides: \(24 + 6=x-6 + 6\).

Answer:

\(x = 30\)