Answer
$m\widehat{TC}=128$
Work Step by Step
We must know that the measure of a minor arc is equal to the measure of its corresponding central angle.
In the given question, we can see that the corresponding angle of minor $\widehat{TC}$ is $\angle TPC$ .
This implies that
$m\widehat{TC}=m\angle TPC$
or, $m\widehat{TC}=128$
