Instead of relying on just one rotation-point, you can however, strengthen your construction with a triangle: Instead of having just one point that can rotate, each section is locked to the others by two fixed points.
Calculate Angles
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calculator.net)
Please provide 3 values including at least one side to the following 6 fields, and click the “Calculate” button. When radians are selected as the angle unit, it can take values such as pi/2, pi/4, etc.