Question

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

Explanation:

Step1: Use the property of parallel lines and alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the alternate interior angles are equal. But here, we can also use the property that the sum of adjacent angles on a straight line is \(180^{\circ}\). The angle adjacent to \(170^{\circ}\) on line \(m\) is \(180 - 170=10^{\circ}\). Then, using the property of parallel lines (corresponding angles or alternate - interior angles relationship, depending on the exact transversal - line configuration, but the key is that the angle \(x\) and the angle adjacent to \(170^{\circ}\) are equal).

Answer:

\(10\)