Based on the given angle measures which triangle has side lengths measures that could be correct

The second triangle would be the one that is correct.

Triangles' angle measures correspond to the length of their opposite sides. So 60 degrees corresponds to 14, 90 degrees corresponds to 16.1, and 30 degrees corresponds to 8.

The largest angle in a triangle will have the longest side across from it. This is how we know that the first triangle is not the correct answer, as the largest angle does not have the longest corresponding side.