Question

in the figure below, ( l parallel m ). find ( x ).

Explanation:

Step1: Use alternate interior angles

Since \( l\parallel m \), the angle adjacent to \( 48^{\circ} \) on line \( m \) is also \( 48^{\circ} \) (alternate - interior angles).

Step2: Apply triangle angle - sum property

The sum of angles in a triangle is \( 180^{\circ} \). So, \( x + 93+48=180 \).
Simplify the left - hand side: \( x+141 = 180 \).
Subtract 141 from both sides: \( x=180 - 141 \).

Answer:

\( x = 39 \)