For triangle abc find the measure of line a b given measurement of angle a is 55 measurement of angle b is 44 and b equals 68

Use the Law of Sines:
 
  sin B              sin 81         sin 44
        = =
  side AC            68            side AB

Then (side AB)(sin 81) = 68(sin 44), or

                                 68 sin 44          
 side AB =         =  47.83 units long
                                    sin 81

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