# Isosceles triangles

Geometry Level pending

The $$ABC$$ triangle is equilateral. The $$X, Y, Z$$ points are respectively on the $$AB, BC, CD$$ sides. We know that there are exactly $$n$$ isosceles triangle from the $$AXZ, XBY, CZY, XYZ$$ triangles. How many possible values are there for $$n$$?

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