Final answer:
To find the measure of KL, use the equation KL+LM=KM and solve for x. Substitute the value of x into KL=3x+6 to find the measure of KL.
Step-by-step explanation:
To find the measure of KL, we can use the given information. KL is equal to 3x+6 and KM is equal to 7x+17. We know that KL+LM=KM, so we can set up the equation 3x+6 + 23 = 7x+17 and solve for x. Once we have the value of x, we can substitute it into KL=3x+6 to find the measure of KL.