Neka je

središte upisane kružnice trokuta

.
Ako je

i

, odredi kutove trokuta

.
%V0
Neka je $I$ središte upisane kružnice trokuta $ABC$.
Ako je $\lvert AI \rvert = \lvert BC \rvert$ i $\sphericalangle ACB = 2 \sphericalangle BAC$, odredi kutove trokuta $ABC$.