Final answer:
Without additional information, it is not possible to determine the measure of angle K in triangle HJK beyond knowing that the total angle sum in a triangle is 180 degrees and one of the angles measures 120.2 degrees.
Step-by-step explanation:
In triangle HJK, the measure of angle J is 120.2°, and the length of side J (opposite angle J) is 25.50 units. To find the measure of the unknown angle K, you would subtract the measure of the known angle J from the total degrees in any triangle, which is always 180°. Unfortunately, with the information provided, we cannot precisely determine the measures of angles H and K without additional data. If angle H was given or the length of another side was provided, we could apply the law of sines or another relevant theorem to find the unknown angles.
The answer would be 180° - 120.2° for a two-angle triangle, but we lack the information to solve this specific case. With only one angle and one side, it is impossible to determine the exact measures of the other angles in the triangle without making assumptions or having additional data presented.