Question

these figures are congruent. what is vw?
feet
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Explanation:

Step1: Match congruent polygon parts

Identify corresponding sides/angles:

• $\angle J = 97^\circ$ corresponds to $\angle X = 91^\circ$? No, match side-angle pairs: $JI=45\ \text{ft}$, $IL=48\ \text{ft}$, $LK=24\ \text{ft}$, $KJ=24\ \text{ft}$; $\angle I=53^\circ$, $\angle J=97^\circ$. For the second polygon: $XW=24\ \text{ft}$, $\angle W=119^\circ$, $\angle X=91^\circ$. Corresponding side to $VW$ is $IL$.

Step2: Assign congruent side length

Since congruent polygons have equal corresponding sides, $VW = IL$.
$IL = 48\ \text{ft}$

Answer:

48 feet