Question

given m||n, find the value of x.
answer

Explanation:

Step1: Identify corresponding angles

Since \(m \parallel n\) and \(t\) is a transversal, \((9x - 9)^\circ\) and \((x - 1)^\circ\) are corresponding angles, so they are equal.

Step2: Set up equation

\(9x - 9 = x - 1\)

Step3: Solve for x

Subtract \(x\) from both sides: \(8x - 9 = -1\)
Add 9 to both sides: \(8x = 8\)
Divide by 8: \(x = 1\)

Answer:

1