Question

these figures are congruent. what is oq?
kilometers
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Explanation:

Step1: Match congruent triangle parts

Identify corresponding angles: $\angle O = 80^\circ = \angle W$, $\angle P$ corresponds to $\angle V$ ($58^\circ$), $\angle Q$ corresponds to $\angle U$ ($42^\circ$). So $\triangle POQ \cong \triangle VWU$.

Step2: Match corresponding sides

Side $OQ$ corresponds to side $WU$.

Step3: Get length of OQ

Length of $WU = 63$ km, so $OQ = WU$.

Answer:

63 kilometers