[tex] \large \bold{SOLUTION:} [/tex]
[tex] \begin{array}{l} \textsf{m}\angle x \textsf{ is half the difference of the measures of its} \\ \textsf{intercepted arcs.} \\ \\ \textsf{m}\angle x = \dfrac{1}{2}\big[(360\degree - 120\degree) - 120\degree\big] \\ \\ \textsf{m}\angle x = \dfrac{1}{2}(240 - 120\degree) \\ \\ \textsf{m}\angle x = \dfrac{1}{2}(120\degree) \\ \\ \boxed{\textsf{m}\angle x = 60\degree}\quad\textit{Answer} \end{array} [/tex]
[tex] \purple{\mathfrak{\#CarryOnLearning}} [/tex]
