Question

given $m\parallel n$, find the value of $x$.

Explanation:

Step1: Use the property of adjacent angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the adjacent angle to \(162^{\circ}\) is \(180 - 162\).
\(180-162 = 18\)

Step2: Use the property of corresponding angles

Since \(m\parallel n\), \(x\) and the angle calculated in Step1 are corresponding angles. So \(x=18\)

Answer:

\(18\)