Question

Find the complement of the following angles: $(x+2y)°$

Answer 1

Let the required angle be $y$.

$\begin{array}{rcl}\therefore a+(x+2y)°& =& 90°\\ a+x+2y°& =& 90°\\ a& =& 90°-x-2y\\ a& =& (90-x-2y)°\end{array}$

Hence, the complement of $(x+2y)°$ is $(90-x-2y)°$.