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

Here, \(x = 180 - 44\) (since \(x\) and the angle adjacent to \(44^{\circ}\) (on the same - side of the transversal) are supplementary. Also, using the property of corresponding angles or the linear - pair relationship with the angle that is equal to \(44^{\circ}\) (by alternate interior angles if we consider another pair of angles).

$$x=136$$

Answer:

\(136\)