Question

in this figure, lines ( l_1 ) and ( l_2 ) are parallel, and lines ( l_3 ) and ( l_4 ) are parallel. what is the measure of ( angle x )?

Explanation:

Step1: Find the adjacent angle of 120°

Since the sum of adjacent angles on a straight line is 180°, the adjacent angle of 120° is \(180 - 120=60^{\circ}\).

Step2: Use the property of parallel lines

Because \(l_1\parallel l_2\) and \(l_3\parallel l_4\), by the property of parallelogram (or using the property of alternate - interior angles and corresponding angles for parallel lines), \(\angle x = 60^{\circ}\).

Answer:

\(60^{\circ}\)