Final answer:
To find the measure of KNM, we need to solve for x by setting (8x-5) equal to (4x-19) and then substitute the value of x back into the equation. The measure of KNM is -33.
Step-by-step explanation:
To find the measure of KNM, we need to first find the values of KNM and MNJ. Given that KNM is equal to (8x-5) and MNJ is equal to (4x-19), we can substitute these values into the equation.
KNM = (8x-5)
= (4x-19).
Solving this equation for x will give us the value of KNM.
8x - 5 = 4x - 19
8x - 4x = -19 + 5
4x = -14
x = -14/4
x = -7/2
Substituting x = -7/2 back into the equation, we can find the value of KNM:
KNM = (8(-7/2) - 5)
KNM = -28 - 5
KNM = -33
Therefore, the measure of KNM is -33.