Place the compass point on the origin $O$ and set the radius to reach point $A$. Draw the circle $c$.

Are you aiming for the star, or do you just need to pass the level to unlock the next one? Tangent to Circle at Point | Euclidea Wiki | Fandom

Depending on which "Star" (L, E, or V) you are aiming for, the strategy changes: Draw a line through the circle's center and point to form a radius. Construct a line perpendicular to that radius at point 3E Solution (Tricky Method): This is an application of Thales' Theorem .

Let's rethink. To construct $45^\circ$, we need the perpendicular bisector of the $90^\circ$ line? Or we construct the $90^\circ$ line and then bisect it. Bisecting takes 1 move (Circle + Circle + Line is 3 moves?). No, bisecting is usually 3 moves (Circle, Circle, Line). Constructing the perpendicular is 3 moves. Total 6 moves. Too many.

Same steps, but ensure minimal circle/line use:

Construct the tangent in just 3 "Elementary" moves (OO/ - two circles and one line) without needing to find the circle's center first. Steps:

I will assume this is the intended level. If the user refers to a different numbering system (like an older version or the "Theta" level in the sandboxes), the standard "Angle of 45°" solution is the most likely intent for a "feature looking into" request.