Triangle upper R upper T upper U is labeled as follows: The measure of angle upper

The correct answer is $156$. In the figure shown, the sum of the measures of angle $UVS$ and angle $RVS$ is $180°$. It’s given that the measure of angle $RVS$ is $41°$. Therefore, the measure of angle $UVS$ is $\left(180-41\right)°$, or $139°$. The sum of the measures of the interior angles of a triangle is $180°$. In triangle $UVS$, the measure of angle $UVS$ is $139°$ and it's given that the measure of angle $VST$ is $29°$. Thus, the measure of angle $VUS$ is $\left(180-139-29\right)°$, or $12°$. It’s given that $RT=TU$. Therefore, triangle $TUR$ is an isosceles triangle and the measure of $VUS$ is equal to the measure of angle $TRU$. In triangle $TUR$, the measure of angle $VUS$ is $12°$ and the measure of angle $TRU$ is $12°$. Thus, the measure of angle $UTR$ is $\left(180-12-12\right)°$, or $156°$. The figure shows that the measure of angle $UTR$ is $x°$, so the value of $x$ is $156$.