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)