Question 24
In triangle $ABC$, $AB<BC<CA$. The bisectors of $\angle BAC$, $\angle ABC$ and $\angle ACB$ meet at $I$. Given $\angle AIB=x^\circ$, $\angle BIC=y^\circ$, $\angle AIC=z^\circ$, where $x,y,z$ are three consecutive natural numbers, find $\angle BAC$.
