∵ ∠APE=55°,∴ ∠DPC=55°.∴ ∠PCD=∠PCA=90°-∠DPC =35°.∴ ∠ACB=70°.又∵ ∠AEP=80°,∴ ∠BAC=180°-35°-80°=65°.∴ ∠B=∠AEP-∠PCD=80°-35°=45°.
∠ACB=70° ∠BAC=65° ∠B=45°