The formula to calculate the missing arc is,
[tex]m\angle T=\frac{1}{2}\times m\angle arcTS[/tex]
where,
[tex]m\angle arcTS=146^0[/tex]
Therefore,
[tex]\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}[/tex]
Hence, the answer is
[tex]\begin{equation*} m\angle T=73^0 \end{equation*}[/tex]
