Question

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

Explanation:

Step1: Find the supplementary angle

The angle supplementary to \(135^{\circ}\) is \(180^{\circ}- 135^{\circ}=45^{\circ}\).

Step2: Use the property of parallel lines and triangle angle sum

Since \(l\parallel m\), and considering the triangle formed. The sum of angles in a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(45^{\circ}\), \(39^{\circ}\), and \(x^{\circ}\). Then \(x = 180-(45 + 39)\).

Step3: Calculate \(x\)

\(x=180 - 84=96\)

Answer:

\(96\)