Final answer:
To find the measures of segments BD and AC, set up equations with the given information.
Step-by-step explanation:
To find the measures of segments BD and AC, we need to set up equations based on the given information. We have BD = 4x - 3 and AC = 2x + 5. We can then set up the equation 4x - 3 = 2x + 5 and solve for x. Once we find the value of x, we can substitute it back into the equations to find the measures of BD and AC.