Question

current skill $
j •--------x--------• k --------x-3--------• l
|----------------69----------------|
find kl. figure is not drawn to scale.

Explanation:

Step1: Set up the equation

From the line segment, we know that \( JL = JK + KL \). Given \( JK = x \), \( KL = x - 3 \), and \( JL = 69 \), so the equation is \( x+(x - 3)=69 \).

Step2: Solve for \( x \)

Simplify the left - hand side of the equation: \( x+x - 3=69 \), which becomes \( 2x-3 = 69 \).
Add 3 to both sides: \( 2x-3 + 3=69 + 3 \), so \( 2x=72 \).
Divide both sides by 2: \( x=\frac{72}{2}=36 \).

Step3: Find \( KL \)

Since \( KL=x - 3 \) and \( x = 36 \), substitute \( x \) into the expression for \( KL \): \( KL=36-3 = 33 \).

Answer:

33