The diameter CT is 180 degrees.
Arc CA + Arc AT = 180 [half circle]
Given,
the central angle CXA = 108 degrees, we can say that the Arc CA = 108.
Thus,
[tex]\begin{gathered} ArcCA+ArcAT=180 \\ 108+ArcAT=180 \\ ArcAT=180-108 \\ ArcAT=72\degree \end{gathered}[/tex]Answer72°