Constructing a right triangle given hypotenuse and one angle (HA) with compass and straightedge

(For assistance see www.mathopenref.com/consttriangleha.html)

1.Construct a right triangle PQR with the hypotenuse Q, and angle P. Make angle Q be the right angle.

2. Draw two triangles with a common leg PQ using the givens above. It should look like the figure on the right.
By drawing them both, you can cut down on steps. What is the smallest number of arcs and lines needed to do this?

(C) Copyright John Page 2007