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∠DEC+∠ECD+∠CDE=180°
110°+30°+∠CDE=180°
∠CDE=180°-140°
∠CDE=40°

∠BEP+∠DEC=180°
∠BEP=180°-110°
∠BEP=70°

∠BPC=2∠CDE
∠BPC=2(40°)
∠BPC=80°

∠BPE+∠BPC=180°
∠BPE=180°-80°
∠BPE=100°

∠EBP+∠BPE+∠BEP=180°
∠EBP=180°-100°-70°
∠EBP=10°

∠BAC=∠CDE=40°

∠AEB=∠DEC=110°

∠AEB+∠BAC+∠ABE=180°
∠ABE=180°-110°-40°
∠ABE=30°

∠ABP=∠ABE+∠EBP
∠ABP=30°+10°
∠ABP=40°