"Two sides and the angle opposite one of them" doesn't uniquely define a triangle. That is,
there can be two or more triangles with different size, or shape, or area that have the same
two sides and the same angle opposite one of them.
In order to use two sides to define a unique triangle, you also have to give the angle between them.
None, as far as I can see. Which, given that I cannot see any triangle, is not saying much!
The answer is given opposite.
It can be an obtuse triangle which includes 2 acute angles and the 3 angles add up to 180 degrees
This is a scalene triangle: The sum of the angles of any triangle must be 180 degrees. Subtracting the given angles from 180 leaves 98 degrees for the third angle. Therefore, no two angles of the triangle are equal, and no two sides can be equal.
In plane Euclidean geometry there are 3 angles in any triangle that add up to 180 degrees and if given 2 angles the sum of the 2 angles minus 180 will give the measure of the 3rd angle
By using the cosine rule in trigonometry the angles of the triangle can be worked out.
The sides and angles of a triangle are generally described using a,b,c for the three sides and A for the angle opposite side a, B for the angle opposite side b and C for the angle opposite side c. Then use the Sine Rule provided that one of the given angles is opposite the given side. a/Sin A = b/Sin B = c/Sin C
If two angles and the side opposite one of them in one triangle are equal to one side and two similarly located angles in a second triangle then the two triangles are congruent. (The triangles are exactly the same shape and size as each other).
Using the cosine rule in trigonometry the opposite angles to the given dimensions are 17.9 degrees, 120 degrees and 42.1 degrees respectively.
The angles given would form a right angle triangle
None, as far as I can see. Which, given that I cannot see any triangle, is not saying much!
Remote interior angles
An obtuse or a scalene triangle would have angles of the given sizes
It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).
The answer is given opposite.
A scalene triangle would have angles of the given sizes.
If it is a right triangle, you can use the Pythagorean theorem to find the height since it will be on of the sides. If it is an equilateral triangle, you can break it up into two right triangles and use the part above. If it is an oblique triangle, you use the angles and some trigonometry to find it. Since the area is 1/2 b x h, if you are given the area, you can solve for the height.