Euclidean geometry is great!

Geometry Level 5

Using a straightedge and a compass, and given a line \( \lambda \) and a point \(A\) on the line, what is the minimum number of moves required to construct a line which makes a \(30 ^ \circ \) angle with line \( \lambda \) which passes through point \(A\)?


All terminology in this question is explained in Wen Z's note. Credits to Wen Z for making the note..

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