Marinada '24

[lang=hr] Dan je trokut $EMA$ s ortocentrom $H$ i središtem opisane kružnice $O$. $M'$ je presjek simetrale kuta $\angle{EMA}$ i opisane kružnice trokuta. Ako je $|MH| = |M'H|$, odredi $\angle{EMA}$. [/lang] [lang=en] Let $EMA$ be a triangle with circumcircle $\omega$, and let $O$, $H$ be the triangle’s circumcenter and orthocenter respectively. Let also $M'$ be the point where the angle bisector of the angle $\angle{EMA}$ meets $\omega$. If $|MH| = |M'H|$, then find the measure of the angle $\angle{EMA}$. [/lang]