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Supplementary angles are angles whose sum is 180 degrees
Any angle that is the supplement of 54 1/2 degress will add up with it to give 180 degrees
Let the supplement be represented by x
[tex]\begin{gathered} x+54\frac{1}{2}=180 \\ \\ x+\frac{105}{2}=180 \\ \\ x=180-\frac{105}{2} \\ \\ x=\frac{360-105}{2} \\ \\ x=\frac{255}{2} \\ \\ x=(127\frac{1}{2})^0 \end{gathered}[/tex]Therefore, the supplement of 54 1/2 degrees is 127