Question

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

Explanation:

Step1: Use the property of adjacent angles

When two lines are intersected by a transversal, adjacent angles on a straight - line sum to \(180^{\circ}\).
We know that \(x + 70=180\) (since \(x\) and \(70^{\circ}\) are adjacent angles forming a linear pair).

Step2: Solve for \(x\)

Subtract \(70\) from both sides of the equation \(x + 70=180\).
\(x=180 - 70\)
\(x = 110\)

Answer:

\(110\)