Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). First, find the third angle of the triangle.
Let the third angle be \(y\). Then \(45^\circ + 96^\circ + y = 180^\circ\).
So \(y = 180^\circ - 45^\circ - 96^\circ = 39^\circ\).

Step2: Use parallel lines (alternate interior angles)

Since \(l \parallel m\), the angle \(x\) and the angle \(y\) (we just found) are alternate interior angles, so they are equal.
Thus, \(x = 39^\circ\).

Answer:

\(39\)