Final answer:
The solution to finding the length of side QR requires the Law of Sines, but the provided angles are incorrect as they exceed 180°. With accurate angle measurements that sum to 180°, we could apply the Law of Sines given two sides and their opposite angles to find the length of QR.
Step-by-step explanation:
The question involves working out the length of side QR in a triangle with given angles and sides. To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. However, there is an issue in the question as it mentions three angles that exceed the possible sum of 180° for a triangle.
Typically, the process would involve setting up the equation a/sin(A) = b/sin(B) = c/sin(C) where 'a', 'b', and 'c' are the sides of the triangle and 'A', 'B', and 'C' are the respective angles opposite those sides. Nevertheless, given the incorrect information, we are unable to calculate the exact length of QR. Should the angles be corrected to sum to 180° and with two sides known, we could then apply the Law of Sines to find the length of the third side.