We can use the Law of Sines to find the measure of angle W:
sin(W)/w = sin(V)/v
sin(W) = w*sin(V)/v
sin(W) = 7.2*sin(8°)/6.2
sin(W) ≈ 0.1001
Taking the inverse sine of both sides, we get:
W ≈ 5.78° or W ≈ 174.22°
Since W is an angle in a triangle, it must be between 0° and 180°. Therefore, the only possible value for ∠W is:
W ≈ 5.78° (to the nearest tenth of a degree).