Question

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

Explanation:

Step1: Find the supplementary angle

The angle adjacent to \(130^{\circ}\) on line \(m\) is \(180 - 130=50^{\circ}\) (supplementary angles sum to \(180^{\circ}\)).

Step2: Use the triangle angle - sum property

In the triangle, the sum of angles is \(180^{\circ}\). Let the third angle in the triangle (related to \(x\) due to parallel lines \(l\parallel m\)) be found. We know one angle is \(101^{\circ}\) and another is \(50^{\circ}\). Then \(x = 180-(101 + 50)\) (alternate interior angles for parallel lines \(l\parallel m\)).

$$x=180 - 151$$

Answer:

\(x = 29\)