Question

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

Explanation:

Step1: Use the property of adjacent angles

When two lines are parallel and cut by a transversal, adjacent angles are supplementary. That is, their sum is \(180^{\circ}\).
So, \(113^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(113^{\circ}\) from both sides of the equation:
\(x = 180 - 113\).

Answer:

\(x = 67\)