To find the measure of angle \( \angle TSV \), we can follow the hint provided. We have:
\[ x + 54 = 157 \]
where \( x \) is the measure of angle \( \angle TSV \) and \( 54 \) is the part given.
To find \( x \), we can subtract \( 54 \) from \( 157 \):
\[ x = 157 - 54 \]
Calculating that gives:
\[ x = 103 \]
Therefore, the measure of \( \angle TSV \) is \( 103 \) degrees.