Question

△oqp ≅ △ywx. what is oq?
miles
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Explanation:

Step1: Find missing angle in △OQP

First, calculate $\angle O$:
$\angle O = 180^\circ - 44^\circ - 76^\circ = 60^\circ$

Step2: Match congruent triangle parts

From $\triangle OQP \cong \triangle YWX$, the angle pairings are:
$\angle O = \angle Y = 60^\circ$, $\angle Q = \angle W = 76^\circ$, $\angle P = \angle X = 44^\circ$.
So side $OQ$ corresponds to side $YW$.

Step3: Identify length of corresponding side

The length of $YW$ is 50 mi, so $OQ = YW$.

Answer:

50 miles