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Solve each triangle using the law of sines. consider all possible solutions.

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Final answer:

To solve a triangle using the law of sines, follow these steps: identify known values, use the law of sines to set up an equation, solve the equation, and repeat if necessary.

Step-by-step explanation:

To solve a triangle using the law of sines, follow these steps:

  1. Identify the known values of the triangle. These can include the measures of angles and the lengths of sides.
  2. Use the law of sines, which states that the ratio of the length of a side to the sine of its opposite angle is the same for all three sides of a triangle. Use this formula to set up an equation.
  3. Solve the equation to find the missing side or angle.
  4. Repeat the process if there are other missing sides or angles.

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