Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, the corresponding angles are equal. So, we can set up the equation \(2x + 22=4x + 2\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(22 = 2x+2\).
Subtract \(2\) from both sides: \(20 = 2x\).
Divide both sides by \(2\): \(x = 10\).

Answer:

\(x = 10\)