Question

due oct 31 by 11:59pm points 100 submitting an external tool given ( l parallel m parallel n ), find the value of ( x ). answer attempt 1 out of 2

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. Here, \( l\parallel m\parallel n \), and the angle \( 124^{\circ} \) and \( x^{\circ} \) are related as follows.
Since \( l\parallel m\parallel n \), the angle adjacent to \( 124^{\circ} \) (on line \( m \)) and \( x^{\circ} \) (on line \( n \)) are equal (corresponding angles). First, find the adjacent angle to \( 124^{\circ} \). Let \( y = 180 - 124\) (linear - pair of angles, sum is \( 180^{\circ} \)).

$$y=180 - 124=56^{\circ}$$

Then, because \( m\parallel n \), \( x=y \) (corresponding angles).

Answer:

\(56\)