Question

1. in the figure shown, ( l_1parallel l_2). what is the value of ( x)?

Explanation:

Step1: Identify angle - type

Since \(l_1\parallel l_2\), the given \(57^{\circ}\) angle and angle \(x\) are alternate - interior angles.

Step2: Apply parallel - line property

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(x = 57^{\circ}\).

Answer:

\(57^{\circ}\)