CD = DE = 2EF = 2e,
とおくと
 CD・cos(2A-(180-E)) + DE・cosE = EF,
 −2e・cos(2A+E) + 2e・cosE = e,
2e で割ると
 - cos(2A+E) + cosE = 1/2,
結論 ( ∠A=∠E ) が正しいとき
 - cos(3E) + cosE = 1/2,
 −(cosE)^3 + cosE = 1/8,   (←3倍角公式)
 cosE = 0.127050844182526
 ∠A = ∠E,      (← 結論)
 ∠B = 360° - 2∠A - ∠E,
 ∠C = 180° - ∠A,
 ∠D = 2∠A,
 ∠E = 1.4434011683(rad) = 82.700795087°

a := AF とおくと
AB = AE = a + e,
a/e = −cos(3E)/{cosE・(1-cosE)} - 1
  = 4cosE + 3 - 1/(1-cosE)
  = 2.36266128721