Question

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

Explanation:

Step1: Find the adjacent angle

The adjacent angle of \(66^{\circ}\) is \(180^{\circ}-66^{\circ}=114^{\circ}\) (supplementary angles).

Step2: Use the property of parallel lines

Since \(m\parallel n\), \(x\) is equal to the adjacent angle of \(66^{\circ}\) (corresponding angles or alternate - interior angles concept, here using the property that when two parallel lines are cut by a transversal, the angles are related in a way that \(x\) and the adjacent angle of \(66^{\circ}\) are equal). So \(x = 114\).

Answer:

\(x = 114\)