$\begin{cases}\widehat{A}=45{}^\circ\\\\\widehat{B}=60{}^\circ\end{cases}\,\,\,\to\,\,\,\widehat{C}=180{}^\circ-\left(45{}^\circ+60{}^\circ\right)\,\,\,\to\,\,\,\widehat{C}=75{}^\circ$
$\,\,\,\,\,\,\widehat{A}\,\,<\,\,\widehat{B}\,\,<\,\,\widehat{C}\,\,\left( \,\,45{}^\circ \,\,<\,\,60{}^\circ \,\,<\,\,75{}^\circ \,\, \right)$
$\to \overset\frown{BC}\,\,<\,\,\overset\frown{CA}\,\,<\,\,\overset\frown{AB}$