Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 4
( x=)

Explanation:

Step1: Use the property of parallel lines

Since \(m\parallel n\), the angles \((2x + 22)^{\circ}\) and \((4x+2)^{\circ}\) are equal (alternate interior angles). So, \(2x + 22=4x + 2\).

Step2: Solve the equation

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

Answer:

\(x = 10\)