If the Lines AB and CD are perpendicular to each other. If 1 measures (3x plus 4) and deg and 2 measures 41 and deg what is the value of x?

If lines AB and CD are perpendicular, the sum of their angles must equal 90 degrees. Given that one angle measures (3x + 4) degrees and the other measures 41 degrees, we can set up the equation:

[ (3x + 4) + 41 = 90 ]

Simplifying this gives (3x + 45 = 90). Subtracting 45 from both sides results in (3x = 45), leading to (x = 15).