Answer:
Angle TUV = 46 degrees.
Step-by-step explanation:
In the diagram, angle TUV is the external angle.
The external angle is always half the difference of the internal angles.
Therefore:
![\angle\text{TUV}=(1)/(2)(145^0-53^0)](https://img.qammunity.org/2023/formulas/mathematics/college/65adc6jd3549y86pir1hr9u7i13ijyptvu.png)
We simplify to obtain our result.
![\begin{gathered} \angle\text{TUV}=(1)/(2)*92^0 \\ =46^0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/y3c3h4jbd9cpc4i3mxl51wuot2hc7vb353.png)
The measure of angle TUV is 46 degrees.