Question

Find the supplement of the following angles: $59°35\text{'}59"$

Answer 1

Let the required angle be $y$.

$\begin{array}{rcl}\therefore y+59°35\text{'}59"& =& 180°\\ y& =& 180°-59°35\text{'}59\text{'}\text{'}\\ y& =& 179°59\text{'}60\text{'}\text{'}-59°35\text{'}59\text{'}\text{'}(As180°=179°59\text{'}60\text{'}\text{'})\\ y& =& 120°24\text{'}1"\end{array}$

Hence, the supplement of $59°35\text{'}59"$ is $120°24\text{'}1"$.