Question

find the value of x if the lines are parallel.

Explanation:

Step1: Use the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are equal. So, \(3x−5=2x + 1\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(3x−2x−5=2x−2x + 1\), which simplifies to \(x−5 = 1\).
Add \(5\) to both sides: \(x−5 + 5=1 + 5\), so \(x = 6\).

Answer:

\(x = 6\)