Answer
The measure of supplement angle is\[{{36}^{\circ }}\]and the measure of compliment angle is\[{{126}^{\circ }}\].
Work Step by Step
The measure of the complement can be obtained by subtracting the measure of the angle from the\[{{90}^{\circ }}\]. by using formula
\[\begin{align}
& \text{Measure of the complement}={{90}^{\circ }}-{{54}^{\circ }} \\
& ={{36}^{\circ }}
\end{align}\]
The measure of the supplement angle can be obtained by subtracting the measure of the angle from the\[{{180}^{\circ }}\]. By using formula;
\[\begin{align}
& \text{Measure of the complement}={{180}^{\circ }}-{{54}^{\circ }} \\
& ={{126}^{\circ }}
\end{align}\]
Hence, the measure of supplement angle is\[{{36}^{\circ }}\]and the measure of compliment angle is\[{{126}^{\circ }}\].
