To find the measure of the final angle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
First, let's add the measures of the given angles: 50 + 55 = 105.
Next, subtract the sum of the given angles from 180 to find the measure of the final angle: 180 - 105 = <<180-105=75>>75.
Therefore, the measure of the final angle is 75 degrees.