Answer and Step-by-step explanation:
To find the missing angles, we can use the properties of triangles. Let's assume that the sides given correspond to a triangle.
1. Use the Law of Cosines:
- The Law of Cosines states that for a triangle with sides a, b, and c, and angle C opposite side c, the equation is: c^2 = a^2 + b^2 - 2abcos(C).
- Using the given side lengths, we can find the angle opposite side 62.
- Substitute the values into the equation: 62^2 = 125^2 + 50^2 - 2(125)(50)cos(C).
- Solve the equation for cos(C) and find the inverse cosine to obtain angle C.
2. Use the Law of Sines:
- The Law of Sines states that for a triangle with sides a, b, and c, and angles A, B, and C, the equation is: sin(A)/a = sin(B)/b = sin(C)/c.
- Using the given side lengths and the angle C found in the previous step, we can find angle A.
- Substitute the values into the equation: sin(A)/62 = sin(C)/125.
- Solve the equation for sin(A) and find the inverse sine to obtain angle A.
3. Find the remaining angle:
- Since the sum of the angles in a triangle is always 180 degrees, we can find the missing angle by subtracting the sum of the angles found in the previous steps from 180 degrees.
Please perform the calculations using the given side lengths to find the missing angles.