b: ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°
step-by-step explanation:
this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.
if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that
x/sin(x) = y/sin(y) = z/sin(z)
and all of these ratios must be greater than 15, the longest side length.
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if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.
z² = x² +y² -2xy·cos(z)
z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°
now you can find y from the law of sines
y = arcsin(y/z·sin(z)) = 31.242°