The Two Identical Angles
Draw a square ABCD with sidelength 1 and midpoints E = M(AB), G=M(BC),
F=M(CD), H=M(DA).
The circle having center A and radius 1 meets EF in I; the circle having
center C with radius 1 meets GH in J.
Show that the angles <JAH and <JAI are identical. (What is the
fastest way to prove this?)
How big is this angle? (What is the fastest way to calculate it?)
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