What tools did the greeks limit themselves to in their formal geometric construction? ruler, straightedge, compass, or tracing paper?

Greeks used very simple tools for geometric construction. They did not used advanced tools that we are using today.

Greeks used simple tools like compass to draw perfect circles and for measuring distances they used sticks with straightedges. Advanced calculations are done using these tools. Compass and straight edge are the tools that are used in their formal geometric construction.

Because they are alternate exterior angles, they are the same.

So the best relationship from the given is:  p = q