There are two possible triangles with the measures given for triangle abc. b = 20.2, c = 18.3, c = 38° what are the possible measures of angle b? round your answer to the nearest whole number. a.4° b.4° and 176° c.43° d.43° and 137°

First, apply the Law of Sines:



And solve for B:





B = sin⁻¹(20.2 × sin38 / 18.3)
   = sin⁻¹(0.67958)
   
There are two angles that are a possible solution: 43° and 137° and both can be angles of a triangle (B + C < 180°).

Therefore, the correct answer is D) 43° and 137°.

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