Question

In the following figure, $m\left(\text{arc}PMQ\right)={110}^o$, find $\angle PQS$.

Answer 1

$m\angle PQS=\frac{1}{2}m\left(arcPMQ\right)$ (By Tangent theorem)
$=\frac{1}{2}\times 110˚$
$\therefore m\angle PQS=55˚$