Question

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

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of same - side interior angles is \(180^{\circ}\).
So, \(110^{\circ}+x^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(110^{\circ}\) from both sides of the equation \(110 + x=180\).
\(x = 180 - 110\)

Answer:

\(x = 70\)