Question

these figures are congruent. what is mn? kilometers

Explanation:

Step1: Match congruent polygon sides

First, identify corresponding sides by matching congruent angles and side lengths:

• $\angle E = \angle K = 115^\circ$, $EK = EB = 19\ \text{km}$, $ED = KN = 42\ \text{km}$
• This means the polygon $EBCD$ corresponds to $KLNM$.

Step2: Locate side for $MN$

The side corresponding to $MN$ is $CD$, as the order of congruent vertices maps $C \to M$ and $D \to N$.

Answer:

48 kilometers