Solution
For this case we see that
m UV= 74º
We also can see that the triangle TUV is an isoceles triangle
And then we can set up the following equation:
74 +y+y = 180
2y +74= 180
2y= 106
y= 53º
m < VUW=53º
And then we can conclude that
m < UTV = 90-53= 37º