Step 1 :The problem is asking for the measure of an angle that is 44 times its own supplement.
Step 2 :The supplement of an angle is defined as 180 degrees minus the angle itself.
Step 3 :We can set up the equation as follows: angle = 44 * (180 - angle).
Step 4 :Solving this equation will give us the measure of the angle.
Step 5 :The solution to the equation is 176.
Step 6 :Final Answer: The measure of the angle is \(\boxed{176}\) degrees.