Question

in the figure below, l || m. find x.

Explanation:

Step1: Find adjacent angle to 141°

The angle adjacent to \( 141^\circ \) on line \( m \) is supplementary, so it's \( 180^\circ - 141^\circ = 39^\circ \).

Step2: Sum of angles in triangle

In a triangle, the sum of angles is \( 180^\circ \). We know two angles: \( 39^\circ \) (from step1) and \( 48^\circ \). Let \( x \) be the third angle. So \( x = 180^\circ - 39^\circ - 48^\circ \).

Step3: Calculate \( x \)

\( 180 - 39 - 48 = 93 \). So \( x = 93 \).

Answer:

\( x = 93 \)