Step 1 :The question is asking for the measure of an angle that is 50 less than three times its own complement. In other words, if the angle is x, then we can form the equation as x = 3*(90 - x) - 50.
Step 2 :Solving this equation, we get x = 55.
Step 3 :So, the measure of the angle is \(\boxed{55^{\circ}}\).