3*phi + 2*theta = 3*PI with angles in radians

Simplifying, phi = PI - (2/3) * theta. (In radians)

phi is the inside angle, unit chord to unit chord.
theta is the inside angle between sqrt2 chord and connected unit chord.

Does History work with Dimension Angle. So that when an angle is increased by rotation, the Dimension Angle auto changes?
Is Dimension Angle Value available to some script or node? Does it have a radian display mode?
Is here a History manipulation Node?

I could not understand Burr's video. Is it a solution to the PentagonChord puzzle?

Thinking of MoI doing the Math, with a Snap to endpoint vs intersection or closed polyline, or ???, as the right leg is rotated, with dynamic angle update.

Or rotate pair of unit chords?
Or mirror unit chord pair, and check for closure to left endpoint of sqrt2 chord?
Rotation or mirror handle?

- Brian