Answer
x = 39
Step-by-step explanation:
The angles with measures (3x - 14) and (2x + 25) are alternate exterior angles because they are on opposites sides of the transversal and in the exterior of lines m and n.
So, to find x, we will use the alternate exterior angles theorem. It says that when m and n are parallel, then alternate exterior angles are congruent, then we can write the following equation
3x - 14 = 2x + 25
Solving for x, we get
3x - 14 + 14 = 2x + 25 + 14
3x = 2x + 39
3x - 2x = 2x + 39 - 2x
x = 39
Therefore, the answer is x = 39