∵∠BAC=180°-(∠ABC ∠ACB)
∴1/2∠BAC=90°-1/2(∠ABC ∠ACB)
∴1/2(∠ABC ∠ACB)=90°-1/2∠BAC
∵∠BPC=180°-(∠PBC ∠PCB)
∠DBC=(180°-∠ABC)÷2=90°-1/2∠ABC
∠DCB=(180°-∠ACB)÷2=90°-1/2∠ACB
∴∠DBC ∠DCB=∠180°-1/2(∠ABC ∠ACB)
∴∠BDC=1/2(∠ABC ∠ACB)
∴∠BDC=90°-1/2∠BAC。
∵∠BAC=180°-(∠ABC ∠ACB)
∴1/2∠BAC=90°-1/2(∠ABC ∠ACB)
∴1/2(∠ABC ∠ACB)=90°-1/2∠BAC
∵∠BPC=180°-(∠PBC ∠PCB)
∠DBC=(180°-∠ABC)÷2=90°-1/2∠ABC
∠DCB=(180°-∠ACB)÷2=90°-1/2∠ACB
∴∠DBC ∠DCB=∠180°-1/2(∠ABC ∠ACB)
∴∠BDC=1/2(∠ABC ∠ACB)
∴∠BDC=90°-1/2∠BAC。