Question

finding angles in transversal problems (level 1)
score: 3/10
question
given ( mparallel n ), find the value of ( x ).
answer
attempt 1 out of 2
( x= )

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, alternate interior angles are equal. The angle \(x\) and the angle adjacent to \(120^{\circ}\) (which is \(180 - 120\)) are alternate interior angles.

Step2: Calculate the value of \(x\)

Since \(x=180 - 120\) (linear - pair and alternate - interior angles property), \(x = 60\)

Answer:

\(60\)