设 AC延长线为 CF。∠FCE = ∠CAB + ∠E = 2 ∠A, ∠ACD = 2 ∠FCE∴ ∠ACD = 4 ∠CAB ① 2∠ACD + (180° ﹣∠CAB) / 2 = 180° ∴ ∠ACD ﹣ (1/4)∠CAB = 45° ②于是, (4﹣1/4) )∠CAB = 45°=> ∠CAB = 12°