Using the law of sines, we have:
$dfrac{sinangle W}{320}=dfrac{sin169°}{740}$
Multiplying both sides by 320, we have:
$sinangle W=dfrac{320sin169°}{740}$
Using a calculator, we find that $sinangle W approx 0.7555$. Taking the inverse sine of both sides, we have:
$angle W approx sin^{-1}(0.7555)$
There are two possible values for $angle W$: $angle W approx 49.5°$ and $angle W approx 130.5°$ (since $sin^{-1}(0.7555) approx 49.5°$ and $angle W = 180° - sin^{-1}(0.7555) approx 130.5°$).
Therefore, the two possible values of $angle W$ are approximately 49.5° and 130.5°.