Answer:
Angle TUV = 46 degrees.
Explanation:
In the diagram, angle TUV is the external angle.
The external angle is always half the difference of the internal angles.
Therefore:
[tex]\angle\text{TUV}=\frac{1}{2}(145^0-53^0)[/tex]
We simplify to obtain our result.
[tex]\begin{gathered} \angle\text{TUV}=\frac{1}{2}\times92^0 \\ =46^0 \end{gathered}[/tex]
The measure of angle TUV is 46 degrees.
