U trokutu
![\triangle ABC](/media/m/1/f/3/1f3c3c0f3e134a169655f9511ba6ea82.png)
vrijedi
![\angle BAC = 120^{\circ}](/media/m/9/c/c/9ccaeb68b8665912f4c7429abf7dfa77.png)
. Točka
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
nalazi se unutar trokuta tako da vrijedi
![DBC = 2 \angle ABD](/media/m/7/2/0/720a3605aa682385790e7d2c79474aa7.png)
i
![\angle DCB = 2 \angle ACD](/media/m/c/6/2/c6216edd128c0185f09ef95a2578543b.png)
. Izračunaj mjeru kuta
![\angle BDC](/media/m/8/8/c/88c7855b7863c5ace66928362033b668.png)
.
%V0
U trokutu $\triangle ABC$ vrijedi $\angle BAC = 120^{\circ}$. Točka $D$ nalazi se unutar trokuta tako da vrijedi $DBC = 2 \angle ABD$ i $\angle DCB = 2 \angle ACD$. Izračunaj mjeru kuta $\angle BDC$.