Question

如图,∠A=86°,BP平分∠ABC,CP平分∠ACB

Answer 1

∠A=86°=> ∠ABC+∠ACB=94°

BP平分∠ABC,CP平分∠ACB => ∠PBC+∠PCB=(∠ABC+∠ACB)/2=47°

∠BPC=180°-(∠PBC+∠PCB)=133°

∠BPC=180°-(∠PBC+∠PCB)=180°-(∠ABC+∠ACB)/2

=180°-(180°-∠A)/2=90°+∠A/2