U trokutu
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
vrijedi
![\angle{BAC}= 120^\circ](/media/m/e/4/d/e4d3cfdab41eb9bd6d1064ff37f8d265.png)
. Točka
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
nalazi se unutar trokuta tako da vrijedi
![\angle{DBC}= 2\,\angle{ABD}](/media/m/7/3/6/73645c028d5e3acbf256e6c01818a503.png)
i
![\angle{DCB}= 2\,\angle{ACD}](/media/m/0/1/c/01c3adf2c15f599e9be24a7b2bad8910.png)
. Izračunaj mjeru kuta
![\angle{BDC}](/media/m/b/4/d/b4d23e58ef9b6d7ed8aa16e3f11b2d60.png)
.
%V0
U trokutu $ABC$ vrijedi $\angle{BAC}= 120^\circ$. Točka $D$ nalazi se unutar trokuta tako da vrijedi $\angle{DBC}= 2\,\angle{ABD}$ i $\angle{DCB}= 2\,\angle{ACD}$. Izračunaj mjeru kuta $\angle{BDC}$.