Question

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

Explanation:

Step1: Find the third angle of the triangle

The sum of angles in a triangle is \(180^\circ\). Let the third angle be \(y\). So, \(y + 93^\circ+ 48^\circ= 180^\circ\). Solving for \(y\), we get \(y = 180^\circ - 93^\circ - 48^\circ = 39^\circ\).

Step2: Use alternate interior angles (since \(l\parallel m\))

The angle \(x\) and the angle \(y\) (which we found as \(39^\circ\)) are alternate interior angles, so \(x = 39^\circ\).

Answer:

\(39\)