Question

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

Explanation:

Step1: Find the interior - angle related to 125°

The angle adjacent to 125° on the same - side of the transversal between parallel lines \(l\) and \(m\) is \(180 - 125=55^{\circ}\) (linear - pair of angles).

Step2: Use the angle - sum property of a triangle

In the triangle, the sum of interior angles of a triangle is 180°. Let the third angle of the triangle be \(x\). We know two angles of the triangle are 65° and 55°. So, \(x=180-(65 + 55)\).
\[x=180 - 120\]
\[x = 60\]

Answer:

60