Question

find kl. figure is not drawn to scale.

Explanation:

Step1: Set up equation

Since $JL = JK+KL$ and $JL = 23$, $JK=n + 9$, $KL=n$, we have the equation $(n + 9)+n=23$.

Step2: Combine like - terms

Combining the $n$ terms on the left - hand side gives $2n+9 = 23$.

Step3: Isolate the variable term

Subtract 9 from both sides: $2n=23 - 9$, so $2n=14$.

Step4: Solve for n

Divide both sides by 2: $n=\frac{14}{2}=7$.

Step5: Find KL

Since $KL = n$, then $KL = 7$.

Answer:

7