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Answer:
43.92
Step-by-step explanation:
First you need the measure of angle C
180 - 90 - 37 = 53 degrees
Then use the Law of Sines with the pair you know:
sin 90 / 55 = sin 53 / x
Solve the equation
x * sin 90 / 55 = sin 53
x * sin 90 = 55 * sin 53
x = 55 * sin 53/sin 90
x = 43.92