Question

given ( mparallel n ), find the value of x.

Explanation:

Step1: Identify corresponding angles

Since \(m \parallel n\) and \(t\) is a transversal, \((3x - 9)^\circ\) and \((x + 1)^\circ\) are corresponding angles, so they are equal.

Step2: Set up equation

\(3x - 9 = x + 1\)

Step3: Solve for x

Subtract \(x\) from both sides: \(2x - 9 = 1\)
Add 9 to both sides: \(2x = 10\)
Divide by 2: \(x = 5\)

Answer:

5