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AB = 20 cm, m angle A = 30 degrees, and m angle C = 45 degrees. Express the number of centimeters in the length of line BC in simplest radical form.
Using the Law of Sines
20 / sin C = BC / sin A
20 / ( 1 /sqrt (2) ) = BC / (1/2)
sqrt (2) * 20 * (1/2) = BC = 10 sqrt (2) units