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问题: 矩形ABCD中,BE=BO,∠BOE=75°,求∠CAE

矩形ABCD中,BE=BO,∠BOE=75°,求∠CAE

解答:

∠BOE=75°=>∠DBE=30°
=>∠ABO=∠AOB=∠BAO=60°
=>AB=OA=OB=BE
=>∠BAE=45°
=>∠CAE=60°-45°=15°