In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .
First we have to find the relationship between those two angles .
And these angles are vertical opposite angles which are congruent .
Therefore
[tex]m \angle USW = m \angle TSR[/tex]
[tex]7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33[/tex]
Therefore measurement of angle USW is
[tex]=7(14.33)-34 =66.31 degree[/tex]
