Marinada '22

[lang=hr] Pet točaka: $T$, $O$, $Č$, $K$, $E$ leže u ravnini i nikoje tri nisu kolinearne. Označimo sa $\alpha$ najmanju veličinu kuta koju zatvaraju 3 različite točke. Odredi najveću moguću vrijednost $\alpha$ (u stupnjevima). [/lang] [lang=en] Five points: $T$, $O$, $Č$, $K$, $E$ lie in a plane and no three are collinear. Let's denote by $\alpha$ the smallest size of the angle enclosed by 3 different points. Determine the largest possible value of $\alpha$ (in degrees). [/lang]