U trokutu

kut u vrhu

iznosi

, a u vrhu

iznosi

. Ako je

središte upisane, a

središte opisane kružnice, odredi veličinu kuta

.
In triangle

angle at

is

, and the angle at

is

. If

is the incenter, and

is the circumcenter, find the angle

.
[lang=hr]
U trokutu $\triangle ABC$ kut u vrhu $B$ iznosi $70^\circ$, a u vrhu $C$ iznosi $50^\circ$. Ako je $I$ središte upisane, a $O$ središte opisane kružnice, odredi veličinu kuta $\measuredangle IBO$.
[/lang]
[lang=en]
In triangle $\triangle ABC$ angle at $B$ is $70^\circ$, and the angle at $C$ is $50^\circ$. If $I$ is the incenter, and $O$ is the circumcenter, find the angle $\measuredangle IBO$.
[/lang]