In ∆ABC, BD and CD are internal bisectors of angleB and angleC resp – InterviewSolution

1.	In ∆ABC, BD and CD are internal bisectors of angleB and angleC respectively.Prove that 180° +y=2x.
Answer» in triangle ABCy+<B+<C=180<B+<<C=180-yin triangle BCDx+<B/2 +<C/2 =180x+(<B+<C)/2=180x+(180-y)/2 =1802x+180-y=3602x=180+y

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