$\odot(P, 5 \, cm)$ is given. Construct two tangents to the circle such that the measure of the angle between them is $120^\circ$. Write the steps of construction.

(N/A) $1$. Draw a circle with center $P$ and radius $5 \, cm$.
$2$. Draw a radius $PA$ and another radius $PB$ such that $\angle APB = 180^\circ - 120^\circ = 60^\circ$. This is because the angle between the tangents and the angle between the radii at the points of contact are supplementary $(180^\circ)$.
$3$. At point $A$,construct a line perpendicular to $PA$.
$4$. At point $B$,construct a line perpendicular to $PB$.
$5$. Let these two perpendicular lines intersect at point $Q$. The lines $QA$ and $QB$ are the required tangents,and $\angle AQB = 120^\circ$.