Općinsko natjecanje 2005 SŠ3 3
Dodao/la:
arhiva2. travnja 2012. U trokutu

poznati su kutovi

i

. Ako je

točka na stranici

takva da je

, izračunajte kut

.
%V0
U trokutu $ABC$ poznati su kutovi $\angle {ABC}=75^\circ$ i $\angle BCA=45^\circ$. Ako je $P$ točka na stranici $\overline{BC}$ takva da je $|BP|=2|PC|$, izračunajte kut $\angle APB$.
Izvor: Općinsko natjecanje iz matematike 2005