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Question

The sides AB and AC of a triangle ABC are produced; and the bisectors of the external angles at B and C meet at P Now if AB >
AC, then PC < PB.

If the above statement is true then mention answer as 1, else mention 0 if false


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Solution

LetABC=xandACB=yIfAB>ACtheny>x(anglesidetheorem)Sotheexternalanglewillbe180x,180yforxandyresp.SotheanglemadebyPwitheBandCwillbePBC=(180x2)PCB=(180y2)Sincey>x,180y<180xSoPCB<PBCSoPB<PC

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