Question

given ( m parallel n ), find the value of x.

Explanation:

Step1: Determine the relationship between angles

Since \(m\parallel n\), \(x\) and the angle adjacent to \(106^{\circ}\) are supplementary.

Step2: Calculate the value of \(x\)

Using the supplementary - angle formula \(x + 106^{\circ}=180^{\circ}\).
Then \(x=180^{\circ}- 106^{\circ}\).
So \(x = 74^{\circ}\).

Answer:

\(74\)