2. Solve the triangle, given the information below. If more than one triangle is possible, give both solutions. If no triangle is possible, state that there is no solution. Give numerical answers to the nearest tenth. $B=32^{\circ}, b=50, c=60$

Step 1 ：We are given two sides and an included angle. We can use the Law of Sines to find angle C, and then use the fact that the sum of the angles in a triangle is 180 degrees to find angle A.

Step 2 ：Given: \(B = 32^{\circ}\), \(b = 50\), \(c = 60\)

Step 3 ：Convert angle B to radians: \(B_{rad} = 0.5585053606381855\)

Step 4 ：Use the Law of Sines to find angle C in radians: \(C_{rad} = 0.6891781477900819\)

Step 5 ：Convert angle C from radians to degrees: \(C = 39.5^{\circ}\)

Step 6 ：Use the fact that the sum of the angles in a triangle is 180 degrees to find angle A: \(A = 180 - B - C = 108.5^{\circ}\)

Step 7 ：Final Answer: The angles of the triangle are \(\boxed{A = 108.5^{\circ}}\), \(\boxed{B = 32^{\circ}}\), and \(\boxed{C = 39.5^{\circ}}\)