Service for determining the point of intersection of lines by compass?

Question

Software and Internet Services

Hello.
Essence of the question:
There are two points (coordinates in the geopositioning system), you need to build lines from each point according to the given parameters, namely degrees, and find the coordinates of the intersection of these lines.
Is there a service that can help you do this?

Answer 1

you need to build lines from each point according to the given parameters

Straight lines will be straight lines on a flat map. But so far, there is no evidence that the Earth is flat. Along the surface of the planet, instead of straight lines, there will be arcs of a circle (this is rough; if a little more precise, then the arcs of an ellipsoid; if even more precise, it will be too difficult).
I suggest using this map projection: https://ru.wikipedia.org/wiki/Mercator_Projection

projection preserves angles between directions

If you mean real straight lines in space (not along the surface, but going into space and into the thickness of the planet), then it is better to immediately switch to a rectangular coordinate system.

Answer 2

Ready service - I do not know.
And if it happens IRL on Earth, then dig in books about navigation. A line that intersects the meridians at the same angle (azimuth) is called the great circle. Determination of a place by two azimuths to landmarks is a standard task.