Mark exterior angle

Can you make a triangle with the exterior angle?

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What figure is possible? Move the segment AD and see

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A = (6.836363636363636, 4.443636363636366)
B = (8.818181818181815, 2.2948760330578546)
f = Segment(A, B)
C = (10.545454545454545, 4.643636363636366)
g = Segment(B, C)
α = Angle(A, B, C)
β = Angle(C, B, A)
a = true
b = true
D = (9.0495867768595, -1.2919008264462806)
h = Segment(A, D)
c = true
d = true
i = Segment(C, D)

Tool: SquareTool
Tool2[ <Number>, <Point> ]
Input: side, A
Output: poly1

B = Point(Circle[A, side])
a = Segment(A, B)
c = Circle(A, side)
b = OrthogonalLine(A, a)
C = Intersect(c, b, 2)
d = Circle(C, side)
e = OrthogonalLine(C, b)
D = Intersect(d, e, 1)
poly1, a_1, b_1, d_1, c_1 = Polygon(A, B, D, C)