Respuesta :

The value of x is always 1

Assume that lines l and m are parallel.  Then the measure of the obtuse angle under "(9x + 2)" in the diagram is 133 degrees, and the angle "(9x + 2)" is 180 degrees less 133 degrees, or 47 degrees.  

Thus, 9x+2 = 47, and 9x = 45, which yields x = 5.