Question

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

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, \(x\) and \(109^{\circ}\) are supplementary angles.
So, \(x + 109^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(109^{\circ}\) from both sides of the equation:
\(x=180^{\circ}- 109^{\circ}\)
\(x = 71^{\circ}\)

Answer:

\(71\)