Final answer:
To find the value of x, set up an equation using the given information and solve for x.
Step-by-step explanation:
To find the value of x, we need to set up an equation using the given information.
We know that LMN is equal to 135, LMV is equal to -1 + 45x, and VMN is equal to 23x.
By substituting these values into the equation, we get -1 + 45x + 23x = 135.
Combining like terms, we have 68x - 1 = 135.
Adding 1 to both sides gives us 68x = 136, and dividing by 68 results in x = 2.