Question

in the figure below, (lparallel m). find (x).

Explanation:

Step1: Use property of parallel lines

The sum of the angles formed by the trans - versal between parallel lines \(l\) and \(m\) and the triangle's interior angles is related. The angle corresponding to the \(39^{\circ}\) and \(45^{\circ}\) angles and \(x\) form a straight - line (180°) due to the parallel lines.

Step2: Set up angle - sum equation

We know that the sum of the interior angles of a triangle formed by the transversal and the parallel lines is \(180^{\circ}\). So, \(x + 39+45=180\).

Step3: Solve for \(x\)

\[

$$\begin{align*} x&=180-(39 + 45)\\ x&=180 - 84\\ x&=96 \end{align*}$$

\]

Answer:

\(96\)