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The sum of the angles in a triangle is always 180 degrees.
Given that angles A and B are 103° and 22° respectively, the measure of angle C can be found by subtracting the sum of angles A and B from 180 degrees:
Angle C = 180° - (103° + 22°)
Angle C = 180° - 125°
Angle C = 55°
Therefore, the measure of angle C is 55°.