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

Question

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

Explanation:

Step1: Find the supplementary angle

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

Step2: Use triangle angle sum

In the triangle, we know one angle is \(45^\circ\), another is \(39^\circ\), and the sum of angles in a triangle is \(180^\circ\). So \(x = 180^\circ - 45^\circ - 39^\circ\).
\[x = 180 - 45 - 39 = 96\]

Answer:

\(96\)