Question

these figures are congruent. what is kj? \boxed{} kilometers

Explanation:

Step1: Match congruent polygon parts

First, identify corresponding angles: $\angle K = 113^\circ$ corresponds to $\angle U = 113^\circ$. $\angle J = 42^\circ$ corresponds to $\angle V$, $\angle L = 96^\circ$ corresponds to $\angle W = 109^\circ$ is not a match, so align sides: side $ML=12$ km corresponds to $TW=12$ km, side $LK=26$ km corresponds to $WU=44$ km is not, so correct correspondence: $JKLM \cong VUWT$.

Step2: Find corresponding side for KJ

Side $KJ$ corresponds to $UV$.

Step3: Assign length of corresponding side

The length of $UV$ is 33 km, so $KJ$ equals this length.

Answer:

33 kilometers