Construct an angle of $37.5^{\circ}$ and write the steps of construction.

(N/A) To construct an angle of $37.5^{\circ}$,we follow these steps:
$1$. Draw a ray $OA$.
$2$. Construct an angle of $75^{\circ}$ at point $O$ using a compass and ruler. Let this be $\angle AOB = 75^{\circ}$.
$3$. Bisect $\angle AOB$ to get an angle of $37.5^{\circ}$.
$4$. To bisect $\angle AOB$,place the compass at $O$ and draw an arc intersecting $OA$ and $OB$ at points $P$ and $Q$ respectively.
$5$. With $P$ and $Q$ as centers and radius more than half of $PQ$,draw two arcs intersecting each other at point $R$.
$6$. Join $OR$. The angle $\angle AOR$ is $37.5^{\circ}$.