Marinada '21

[lang=hr] $AOB$ je promjer kružnice sa središtem u točki $O$. Iz točke $P$ izvan kružnice povučene su tangente $PC$ i $PD$ koje diraju kružnicu u točkama $C$ i $D$. Konačno, neka je točka $E$ sjecište pravaca $OP$ i $CD$.\\ Odredi veličinu kuta $\angle OED$ u stupnjevima. [/lang] [lang=en] $AOB$ is a diameter of the circle with centre $O$. $P$ is a point outside the circle and $PC$ and $PD$ are tangents to the circle with $C$ and $D$ on the circle. The diagram is completed by connecting $OP$ and $CD$ to meet at point $E$.\\ Evaluate $\angle OED$ in degrees. [/lang]