Question 27
In the figure, $O$ is the center of the semicircle of diameter $PQ$, $R$ is a point on the semicircle and $RM$ is perpendicular to $PQ$. If the measure of the arc $\widehat{PR}$ is twice the measure of the arc $\widehat{RQ}$, what is the ratio between $PM$ and $MQ$? 