Question

Find the supplement of the following angles: $111°23\text{'}32"$

Answer 1

Let the required angle be $y$.

$\begin{array}{rcl}\therefore y+111°23\text{'}32"& =& 180°\\ y& =& 180°-111°23\text{'}32\text{'}\text{'}\\ y& =& 179°59\text{'}60\text{'}\text{'}-111°23\text{'}32\text{'}\text{'}(As180°=179°59\text{'}60\text{'}\text{'})\\ y& =& 68°36\text{'}28\text{'}\text{'}\end{array}$

Hence, the supplement of $111°23\text{'}32"$ is $68°36\text{'}28\text{'}\text{'}$.