Final answer:
To find the value of x, set the expressions (3x - 1) and (2x + 44) equal, and solve for x. The value of x is 45.
Step-by-step explanation:
To find the value of x, we need to set the expressions (3x - 1) and (2x + 44) equal and solve for x. Since lines m and n are parallel, their corresponding angles are equal. This means that (3x - 1) and (2x + 44) are alternate interior angles, so they must be equal. Set up the equation: (3x - 1) = (2x + 44).
Next, solve for x:
3x - 1 = 2x + 44
Subtract 2x from both sides: x - 1 = 44
Add 1 to both sides: x = 45
So, the value of x is 45.