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. So, \(80^{\circ}+x^{\circ} = 180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(80\) from both sides of the equation: \(x=180 - 80\).

Answer:

\(100\)