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Step-by-step explanation:
given
BP and BC are the bisectors of the ABC and ACB
solution
In triangle abc
angle a + angle b + angle c = 180
1/2 a + 1/2 b+ 1/2 c= 90
1/2 b + 1/2 c= 90 +1/2 a
now In triangle BPC
1/2 b + 1/2 c+ bpc= 180
putting the value of(1/2 b +1/2 c ) from (1) in (2) we get
(1/2 b+½c) + bpc=180
90+½ of angle +bpc=180
angle bpc= 90 ½of angle bac
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