Question

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

Explanation:

Step1: Find the adjacent angle of \(140^{\circ}\)

Since the sum of adjacent angles on a straight line is \(180^{\circ}\), the adjacent angle of \(140^{\circ}\) is \(180 - 140=40^{\circ}\)

Step2: Use the property of parallel lines

Because \(m\parallel n\), the angle we found (\(40^{\circ}\)) and \(x^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \(x = 40\)

Answer:

\(x = 40\)