Question

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

Explanation:

Step1: Find the corresponding angle

Since \(l\parallel m\), the angle corresponding to the \(132^{\circ}\) angle is also \(132^{\circ}\).

Step2: Use angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third - angle in the triangle be \(x\). We know two angles of the triangle: one is \(39^{\circ}\) and the other is \(180 - 132=48^{\circ}\) (linear - pair with the \(132^{\circ}\) angle). Then \(x+39+(180 - 132)=180\).
\[x+39 + 48=180\]
\[x+87 = 180\]
\[x=180 - 87\]
\[x = 93\]

Answer:

\(93\)