Question

k is the midpoint of jl. kl = x - 16 and jl = 56. find x, jk, and kl.

Explanation:

Step1: Use midpoint property

Since \( K \) is the midpoint of \( JL \), \( JK = KL \) and \( JL=JK + KL = 2JK=2KL \). Given \( JL = 56 \), so \( JK=KL=\frac{JL}{2}=\frac{56}{2} = 28 \).

Step2: Solve for \( x \)

We know \( KL=x - 16 \) and \( KL = 28 \). So set up the equation \( x-16=28 \). Add 16 to both sides: \( x=28 + 16=44 \).

Step3: Confirm \( JK \) and \( KL \)

Since \( K \) is the midpoint, \( JK = KL = 28 \).

Answer:

\( x = 44 \), \( JK = 28 \), \( KL = 28 \)