What is the measure of the supplement of $44^{\circ}$ ?

Step 1 ：Define the measure of the angle as 44 degrees.

Step 2 ：Calculate the supplement of the angle by subtracting the angle from 180 degrees.

Step 3 ：The supplement of the angle is 180 - 44 = 136 degrees.

Step 4 ：Final Answer: The measure of the supplement of \(44^{\circ}\) is \(\boxed{136^{\circ}}\).