Question

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

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), alternate interior angles are equal.

Step2: Set up the equation

Since \(x\) and \(151^{\circ}\) are alternate interior angles, we have \(x = 180 - 151\) (because \(x\) and the angle adjacent to \(151^{\circ}\) form a linear - pair).

$$x=180 - 151$$

Step3: Calculate the value of \(x\)

$$x = 29$$

Answer:

\(29\)