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Answer :
The correct answer is b) angle B = 118°, side a = 14, and side c = 18.
To solve the triangle using the law of sines, we need to find the measures of angles and sides. In this case, we are given ∠B = 118° and side c = 18. We need to find side a.
Using the law of sines, we have the following ratio: sin(∠B) / side b = sin(∠A) / side a. Since we are looking for side a, we rearrange the equation as follows: side a = (side b * sin(∠A)) / sin(∠B).
Substituting the given values, we have side a = (18 * sin(∠A)) / sin(118°).
To find side a, we also need the measure of angle A. However, we don't have enough information to determine the measure of angle A.
Among the given options, only option b) provides a possible solution where ∠B = 118°, side a = 14, and side c = 18.
Therefore, the correct answer is b) ∠B = 118°, side a = 14, and side c = 18.
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