A full turn is 360 degrees, so it would take three 120 degree turns.
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It takes: 360/40 degrees = 9
50 internal angles though it will take some time to work out what they are.
2 triangles make up a rhombus which has 4 interior angles adding to 360 degrees and a triangles has 3 interior angles add up to 180 degrees. Therefore: 360/180 = 2 triangles